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6x+7(6x-43)=83
We move all terms to the left:
6x+7(6x-43)-(83)=0
We multiply parentheses
6x+42x-301-83=0
We add all the numbers together, and all the variables
48x-384=0
We move all terms containing x to the left, all other terms to the right
48x=384
x=384/48
x=8
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