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3(x+4)=-7x-8
We move all terms to the left:
3(x+4)-(-7x-8)=0
We multiply parentheses
3x-(-7x-8)+12=0
We get rid of parentheses
3x+7x+8+12=0
We add all the numbers together, and all the variables
10x+20=0
We move all terms containing x to the left, all other terms to the right
10x=-20
x=-20/10
x=-2
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