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4(2x+4)=2x-44
We move all terms to the left:
4(2x+4)-(2x-44)=0
We multiply parentheses
8x-(2x-44)+16=0
We get rid of parentheses
8x-2x+44+16=0
We add all the numbers together, and all the variables
6x+60=0
We move all terms containing x to the left, all other terms to the right
6x=-60
x=-60/6
x=-10
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