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4(x+7)=2x-12
We move all terms to the left:
4(x+7)-(2x-12)=0
We multiply parentheses
4x-(2x-12)+28=0
We get rid of parentheses
4x-2x+12+28=0
We add all the numbers together, and all the variables
2x+40=0
We move all terms containing x to the left, all other terms to the right
2x=-40
x=-40/2
x=-20
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