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5x+1=-2x+8
We move all terms to the left:
5x+1-(-2x+8)=0
We get rid of parentheses
5x+2x-8+1=0
We add all the numbers together, and all the variables
7x-7=0
We move all terms containing x to the left, all other terms to the right
7x=7
x=7/7
x=1
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