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-3x+7=-8x+47
We move all terms to the left:
-3x+7-(-8x+47)=0
We get rid of parentheses
-3x+8x-47+7=0
We add all the numbers together, and all the variables
5x-40=0
We move all terms containing x to the left, all other terms to the right
5x=40
x=40/5
x=8
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