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If you are still having issues then post another log. I see from your log that you have a 32bit os and unfortunately the 1.6 packs, except ftb lite2, require a 64bit os and 64bit java to work properly.
Actually I believe he has a 64bit OS because of the above quote from his log. He just needs 64bit Java. Not sure about the error though. Please after installing 64bit Java and uninstalling the 32bit please post a new console log if you still have problems.
So you do not have a 64bit computer and OS? Double check as the only reason I know of that you have a Program Files (x86) folder is to keep the 32bit programs separate from the 64bit programs. If you do have a 64bit computer install the 64bit Java and allocate about 2GB in the launcher.