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4(x-4)=8x+4
We move all terms to the left:
4(x-4)-(8x+4)=0
We multiply parentheses
4x-(8x+4)-16=0
We get rid of parentheses
4x-8x-4-16=0
We add all the numbers together, and all the variables
-4x-20=0
We move all terms containing x to the left, all other terms to the right
-4x=20
x=20/-4
x=-5
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