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2(x+7)-2=32-3x
We move all terms to the left:
2(x+7)-2-(32-3x)=0
We add all the numbers together, and all the variables
2(x+7)-(-3x+32)-2=0
We multiply parentheses
2x-(-3x+32)+14-2=0
We get rid of parentheses
2x+3x-32+14-2=0
We add all the numbers together, and all the variables
5x-20=0
We move all terms containing x to the left, all other terms to the right
5x=20
x=20/5
x=4
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