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4x-76=-3x+1
We move all terms to the left:
4x-76-(-3x+1)=0
We get rid of parentheses
4x+3x-1-76=0
We add all the numbers together, and all the variables
7x-77=0
We move all terms containing x to the left, all other terms to the right
7x=77
x=77/7
x=11
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