failure to download repository information

I am getting a "failed to download repository information" notice whenever I try to download or update software. I've tried all of the troubleshooting procedures I could find, but nothing seems to work. Does anyone have any advice? Thanks.

lj@lj-desktop:~$ ubuntu-support-status
Support status summary of 'lj-desktop':

You have 2003 packages (100.0%) that can not/no-longer be downloaded
You have 0 packages (0.0%) that are unsupported

Run with --show-unsupported, --show-supported or --show-all to see more details
lj@lj-desktop:~$ cat /etc/dpkg/dpkg.cfg.d/multiarch
cat: /etc/dpkg/dpkg.cfg.d/multiarch: No such file or directory
lj@lj-desktop:~$ dpkg --print-foreign-architectures
i386
1386
lj@lj-desktop:~$ sudo grep -R proxy /etc/apt/*
[sudo] password for lj:
lj@lj-desktop:~$ sudo grep -R proxy /etc/apt/*
lj@lj-desktop:~$ grep proxy /etc/environment
lj@lj-desktop:~$ echo $http_proxy

lj@lj-desktop:~$ echo $http_proxy

lj@lj-desktop:~$ grep proxy /etc/bash.bashrc
lj@lj-desktop:~$ grep proxy ~/.bashrc
lj@lj-desktop:~$ cat /etc/apt/apt.conf
cat: /etc/apt/apt.conf: No such file or directory
lj@lj-desktop:~$ sudo fuser -vvv /var/lib/dpkg/lock
lj@lj-desktop:~$ sudo fuser -vvv /var/cache/apt/archives/lock
lj@lj-desktop:~$ cat /etc/lsb-release
DISTRIB_ID=Ubuntu
DISTRIB_RELEASE=14.04
DISTRIB_CODENAME=trusty
DISTRIB_DESCRIPTION="Ubuntu 14.04.1 LTS"
lj@lj-desktop:~$ cat /etc/lsb-release
DISTRIB_ID=Ubuntu
DISTRIB_RELEASE=14.04
DISTRIB_CODENAME=trusty
DISTRIB_DESCRIPTION="Ubuntu 14.04.1 LTS"
lj@lj-desktop:~$ sudo rm /var/lib/apt/lists/lock
lj@lj-desktop:~$ sudo rm /var/cache/apt/archives/lock
lj@lj-desktop:~$ sudo rm /var/lib/dpkg/lock
lj@lj-desktop:~$ sudo cp -arf /var/lib/dpkg /var/lib/dpkg.backup
lj@lj-desktop:~$ sudo mv /var/lib/dpkg/status /var/lib/dpkg/status-bad
lj@lj-desktop:~$ sudo cp /var/lib/dpkg/status-old /var/lib/dpkg/status || sudo cp /var/backups/apt.extended_states.0 /var/lib/dpkg/status
lj@lj-desktop:~$ sudo mv /var/lib/dpkg/available /var/lib/dpkg/available-bad
lj@lj-desktop:~$ sudo cp /var/lib/dpkg/available-old /var/lib/dpkg/available
lj@lj-desktop:~$ sudo rm -rf /var/lib/dpkg/updates/*
lj@lj-desktop:~$ sudo rm -rf /var/lib/apt/lists
lj@lj-desktop:~$ sudo rm /var/cache/apt/*.bin
lj@lj-desktop:~$ sudo mkdir /var/lib/apt/lists
lj@lj-desktop:~$ sudo mkdir /var/lib/apt/lists/partial
lj@lj-desktop:~$ LANG=C;sudo apt-get clean
lj@lj-desktop:~$ LANG=C;sudo apt-get autoclean
Reading package lists... Done
Building dependency tree
Reading state information... Done
lj@lj-desktop:~$ LANG=C;sudo apt-get --purge autoremove
Reading package lists... Done
Building dependency tree
Reading state information... Done
The following packages will be REMOVED:
  cabextract*
0 upgraded, 0 newly installed, 1 to remove and 0 not upgraded.
After this operation, 147 kB disk space will be freed.
Do you want to continue? [Y/n] LANG=C;sudo apt-get --fix-missing update -o APT::Cache-Limit=100000000
Abort.
lj@lj-desktop:~$ sudo dpkg --configure -a
lj@lj-desktop:~$ sudo dpkg --clear-avail
lj@lj-desktop:~$ LANG=C;sudo apt-get -f install
Reading package lists... Done
Building dependency tree
Reading state information... Done
The following package was automatically installed and is no longer required:
  cabextract
Use 'apt-get autoremove' to remove it.
0 upgraded, 0 newly installed, 0 to remove and 0 not upgraded.
lj@lj-desktop:~$ LANG=C;sudo apt-get --fix-missing install
Reading package lists... Done
Building dependency tree
Reading state information... Done
The following package was automatically installed and is no longer required:
  cabextract
Use 'apt-get autoremove' to remove it.
0 upgraded, 0 newly installed, 0 to remove and 0 not upgraded.
lj@lj-desktop:~$ LANG=C;sudo apt-get update -o APT::Cache-Limit=100000000 && sudo apt-get dist-upgrade
Ign http://archive.ubuntu.com trusty InRelease
Ign http://archive.canonical.com trusty InRelease
Ign http://archive.ubuntu.com trusty-updates InRelease
Get:1 http://archive.canonical.com trusty Release.gpg [933 B]
Ign http://archive.ubuntu.com trusty-backports InRelease
Get:2 http://archive.canonical.com trusty Release [8796 B]
Ign http://archive.ubuntu.com trusty-security InRelease
Get:3 http://archive.canonical.com trusty/partner Sources [7008 B]
Get:4 http://archive.ubuntu.com trusty Release.gpg [933 B]
Get:5 http://archive.ubuntu.com trusty-updates Release.gpg [933 B]
Get:6 http://archive.ubuntu.com trusty-backports Release.gpg [933 B]
Get:7 http://archive.ubuntu.com trusty-security Release.gpg [933 B]
Get:8 http://archive.ubuntu.com trusty Release [58.5 kB]
Get:9 http://archive.ubuntu.com trusty-updates Release [59.7 kB]
Get:10 http://archive.ubuntu.com trusty-backports Release [59.7 kB]
Get:11 http://archive.ubuntu.com trusty-security Release [59.7 kB]
Get:12 http://archive.ubuntu.com trusty/main Sources [1064 kB]
Get:13 http://archive.ubuntu.com trusty/restricted Sources [5433 B]
Get:14 http://archive.ubuntu.com trusty/multiverse Sources [174 kB]
Get:15 http://archive.ubuntu.com trusty/universe Sources [6399 kB]
Get:16 http://archive.ubuntu.com trusty-updates/multiverse Sources [3531 B]
Get:17 http://archive.ubuntu.com trusty-updates/main Sources [126 kB]
Get:18 http://archive.ubuntu.com trusty-updates/restricted Sources [1408 B]
Get:19 http://archive.ubuntu.com trusty-updates/universe Sources [86.7 kB]
Get:20 http://archive.ubuntu.com trusty-backports/main Sources [4760 B]
Get:21 http://archive.ubuntu.com trusty-backports/restricted Sources [14 B]
Get:22 http://archive.ubuntu.com trusty-backports/universe Sources [14.1 kB]
Get:23 http://archive.ubuntu.com trusty-backports/multiverse Sources [1883 B]
Get:24 http://archive.ubuntu.com trusty-security/multiverse Sources [700 B]
Get:25 http://archive.ubuntu.com trusty-security/main Sources [46.7 kB]
Get:26 http://archive.ubuntu.com trusty-security/restricted Sources [14 B]
Get:27 http://archive.ubuntu.com trusty-security/universe Sources [10.8 kB]
Fetched 8197 kB in 4s (1919 kB/s)
W: Failed to fetch http://archive.canonical.com/ubuntu/dists/trusty/Release Unable to find expected entry 'partner/binary-1386/Packages' in Release file (Wrong sources.list entry or malformed file)

W: Failed to fetch http://archive.ubuntu.com/ubuntu/dists/trusty/Release Unable to find expected entry 'main/binary-1386/Packages' in Release file (Wrong sources.list entry or malformed file)

W: Failed to fetch http://archive.ubuntu.com/ubuntu/dists/trusty-updates/Release Unable to find expected entry 'main/binary-1386/Packages' in Release file (Wrong sources.list entry or malformed file)

W: Failed to fetch http://archive.ubuntu.com/ubuntu/dists/trusty-backports/Release Unable to find expected entry 'main/binary-1386/Packages' in Release file (Wrong sources.list entry or malformed file)

W: Failed to fetch http://archive.ubuntu.com/ubuntu/dists/trusty-security/Release Unable to find expected entry 'main/binary-1386/Packages' in Release file (Wrong sources.list entry or malformed file)

E: Some index files failed to download. They have been ignored, or old ones used instead.
lj@lj-desktop:~$ find /etc/apt -name '*.list' -exec bash -c 'echo -e "\n$1\n"; cat -n "$1"' _ '{}' \;

/etc/apt/sources.list

     1 # deb cdrom:[Ubuntu 14.04.1 LTS _Trusty Tahr_ - Release amd64 (20140722.2)]/ trusty main restricted
     2 deb-src http://archive.ubuntu.com/ubuntu trusty main restricted #Added by software-properties
     3
     4 # See http://help.ubuntu.com/community/UpgradeNotes for how to upgrade to
     5 # newer versions of the distribution.
     6 deb http://archive.ubuntu.com/ubuntu trusty main restricted
     7 deb-src http://archive.ubuntu.com/ubuntu trusty multiverse restricted universe #Added by software-properties
     8
     9 ## Major bug fix updates produced after the final release of the
    10 ## distribution.
    11 deb http://archive.ubuntu.com/ubuntu trusty-updates main restricted
    12 deb-src http://archive.ubuntu.com/ubuntu trusty-updates multiverse main restricted universe #Added by software-properties
    13
    14 ## N.B. software from this repository is ENTIRELY UNSUPPORTED by the Ubuntu
    15 ## team. Also, please note that software in universe WILL NOT receive any
    16 ## review or updates from the Ubuntu security team.
    17 deb http://archive.ubuntu.com/ubuntu trusty universe
    18 deb http://archive.ubuntu.com/ubuntu trusty-updates universe
    19
    20 ## N.B. software from this repository is ENTIRELY UNSUPPORTED by the Ubuntu
    21 ## team, and may not be under a free licence. Please satisfy yourself as to
    22 ## your rights to use the software. Also, please note that software in
    23 ## multiverse WILL NOT receive any review or updates from the Ubuntu
    24 ## security team.
    25 deb http://archive.ubuntu.com/ubuntu trusty multiverse
    26 deb http://archive.ubuntu.com/ubuntu trusty-updates multiverse
    27
    28 ## N.B. software from this repository may not have been tested as
    29 ## extensively as that contained in the main release, although it includes
    30 ## newer versions of some applications which may provide useful features.
    31 ## Also, please note that software in backports WILL NOT receive any review
    32 ## or updates from the Ubuntu security team.
    33 deb http://archive.ubuntu.com/ubuntu trusty-backports main restricted universe multiverse
    34 deb-src http://archive.ubuntu.com/ubuntu trusty-backports main restricted universe multiverse #Added by software-properties
    35
    36 deb http://archive.ubuntu.com/ubuntu trusty-security main restricted
    37 deb-src http://archive.ubuntu.com/ubuntu trusty-security multiverse main restricted universe #Added by software-properties
    38 deb http://archive.ubuntu.com/ubuntu trusty-security universe
    39 deb http://archive.ubuntu.com/ubuntu trusty-security multiverse
    40
    41 ## Uncomment the following two lines to add software from Canonical's
    42 ## 'partner' repository.
    43 ## This software is not part of Ubuntu, but is offered by Canonical and the
    44 ## respective vendors as a service to Ubuntu users.
    45 deb http://archive.canonical.com/ubuntu trusty partner
    46 deb-src http://archive.canonical.com/ubuntu trusty partner
    47
    48 ## This software is not part of Ubuntu, but is offered by third-party
    49 ## developers who want to ship their latest software.
    50 # deb http://extras.ubuntu.com/ubuntu trusty main
    51 # deb-src http://extras.ubuntu.com/ubuntu trusty main

/etc/apt/sources.list.d/pipelight-stable-trusty.list

     1 # deb http://ppa.launchpad.net/pipelight/stable/ubuntu trusty main
     2 # deb-src http://ppa.launchpad.net/pipelight/stable/ubuntu trusty main
     3 # deb-src http://ppa.launchpad.net/pipelight/stable/ubuntu trusty main
     4 # deb-src http://ppa.launchpad.net/pipelight/stable/ubuntu trusty main

/etc/apt/sources.list.d/ubuntu-wine-ppa-trusty.list

     1 # deb http://ppa.launchpad.net/ubuntu-wine/ppa/ubuntu trusty main
     2 # deb-src http://ppa.launchpad.net/ubuntu-wine/ppa/ubuntu trusty main
     3 # deb-src http://ppa.launchpad.net/ubuntu-wine/ppa/ubuntu trusty main

/etc/apt/sources.list.d/google-chrome.list

     1 ### THIS FILE IS AUTOMATICALLY CONFIGURED ###
     2 # You may comment out this entry, but any other modifications may be lost.
     3 # deb http://dl.google.com/linux/chrome/deb/ stable main
lj@lj-desktop:~$ ^C
lj@lj-desktop:~$