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7(3x-8)=4x+46
We move all terms to the left:
7(3x-8)-(4x+46)=0
We multiply parentheses
21x-(4x+46)-56=0
We get rid of parentheses
21x-4x-46-56=0
We add all the numbers together, and all the variables
17x-102=0
We move all terms containing x to the left, all other terms to the right
17x=102
x=102/17
x=6
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