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4x+1=-6x+81
We move all terms to the left:
4x+1-(-6x+81)=0
We get rid of parentheses
4x+6x-81+1=0
We add all the numbers together, and all the variables
10x-80=0
We move all terms containing x to the left, all other terms to the right
10x=80
x=80/10
x=8
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