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2x-5(x+1)=7x+1-4x
We move all terms to the left:
2x-5(x+1)-(7x+1-4x)=0
We add all the numbers together, and all the variables
2x-5(x+1)-(3x+1)=0
We multiply parentheses
2x-5x-(3x+1)-5=0
We get rid of parentheses
2x-5x-3x-1-5=0
We add all the numbers together, and all the variables
-6x-6=0
We move all terms containing x to the left, all other terms to the right
-6x=6
x=6/-6
x=-1
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