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-4(x-8)=-9x+12
We move all terms to the left:
-4(x-8)-(-9x+12)=0
We multiply parentheses
-4x-(-9x+12)+32=0
We get rid of parentheses
-4x+9x-12+32=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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