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2x+2=7x+47
We move all terms to the left:
2x+2-(7x+47)=0
We get rid of parentheses
2x-7x-47+2=0
We add all the numbers together, and all the variables
-5x-45=0
We move all terms containing x to the left, all other terms to the right
-5x=45
x=45/-5
x=-9
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