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4(x-6)=3x-7
We move all terms to the left:
4(x-6)-(3x-7)=0
We multiply parentheses
4x-(3x-7)-24=0
We get rid of parentheses
4x-3x+7-24=0
We add all the numbers together, and all the variables
x-17=0
We move all terms containing x to the left, all other terms to the right
x=17
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