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6(x-3)+9=4x-6
We move all terms to the left:
6(x-3)+9-(4x-6)=0
We multiply parentheses
6x-(4x-6)-18+9=0
We get rid of parentheses
6x-4x+6-18+9=0
We add all the numbers together, and all the variables
2x-3=0
We move all terms containing x to the left, all other terms to the right
2x=3
x=3/2
x=1+1/2
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