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4(2x-3)+7=5x+1
We move all terms to the left:
4(2x-3)+7-(5x+1)=0
We multiply parentheses
8x-(5x+1)-12+7=0
We get rid of parentheses
8x-5x-1-12+7=0
We add all the numbers together, and all the variables
3x-6=0
We move all terms containing x to the left, all other terms to the right
3x=6
x=6/3
x=2
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