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4x+47=-6x+17
We move all terms to the left:
4x+47-(-6x+17)=0
We get rid of parentheses
4x+6x-17+47=0
We add all the numbers together, and all the variables
10x+30=0
We move all terms containing x to the left, all other terms to the right
10x=-30
x=-30/10
x=-3
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