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2x+1-5(x+1)=-7x-1
We move all terms to the left:
2x+1-5(x+1)-(-7x-1)=0
We multiply parentheses
2x-5x-(-7x-1)-5+1=0
We get rid of parentheses
2x-5x+7x+1-5+1=0
We add all the numbers together, and all the variables
4x-3=0
We move all terms containing x to the left, all other terms to the right
4x=3
x=3/4
x=3/4
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