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3x-4(2x+2)=47
We move all terms to the left:
3x-4(2x+2)-(47)=0
We multiply parentheses
3x-8x-8-47=0
We add all the numbers together, and all the variables
-5x-55=0
We move all terms containing x to the left, all other terms to the right
-5x=55
x=55/-5
x=-11
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