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-5(x+7)=-4x-23
We move all terms to the left:
-5(x+7)-(-4x-23)=0
We multiply parentheses
-5x-(-4x-23)-35=0
We get rid of parentheses
-5x+4x+23-35=0
We add all the numbers together, and all the variables
-1x-12=0
We move all terms containing x to the left, all other terms to the right
-x=12
x=12/-1
x=-12
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