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3(x+2)-2(x-4)=7
We move all terms to the left:
3(x+2)-2(x-4)-(7)=0
We multiply parentheses
3x-2x+6+8-7=0
We add all the numbers together, and all the variables
x+7=0
We move all terms containing x to the left, all other terms to the right
x=-7
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