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4(3x+7)=6x-8
We move all terms to the left:
4(3x+7)-(6x-8)=0
We multiply parentheses
12x-(6x-8)+28=0
We get rid of parentheses
12x-6x+8+28=0
We add all the numbers together, and all the variables
6x+36=0
We move all terms containing x to the left, all other terms to the right
6x=-36
x=-36/6
x=-6
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