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5x-47=-3x+33
We move all terms to the left:
5x-47-(-3x+33)=0
We get rid of parentheses
5x+3x-33-47=0
We add all the numbers together, and all the variables
8x-80=0
We move all terms containing x to the left, all other terms to the right
8x=80
x=80/8
x=10
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