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-(x-4)=4x-16
We move all terms to the left:
-(x-4)-(4x-16)=0
We get rid of parentheses
-x-4x+4+16=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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