Andrew,
Do a search for Rack Bolt. I changed mine, and made a WORLD of difference. You need to have the engine hot to change it and get it adjusted correctly, so be prepared to spend a little while sweating over the engine compartment. I purchased mine for $23. An updated version came out in 1985, and it cures most of that shaking. Mine got so bad that people would stare at me at stoplights, and you couldn't carry on a conversation without your voice sounding like Catherine Hepburn.

Good Luck!!
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R Talley
84 300D-T