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3(2x-7)=4x+9
We move all terms to the left:
3(2x-7)-(4x+9)=0
We multiply parentheses
6x-(4x+9)-21=0
We get rid of parentheses
6x-4x-9-21=0
We add all the numbers together, and all the variables
2x-30=0
We move all terms containing x to the left, all other terms to the right
2x=30
x=30/2
x=15
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