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-2x+3=-7x-47
We move all terms to the left:
-2x+3-(-7x-47)=0
We get rid of parentheses
-2x+7x+47+3=0
We add all the numbers together, and all the variables
5x+50=0
We move all terms containing x to the left, all other terms to the right
5x=-50
x=-50/5
x=-10
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