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5x+6-3(x+1)=4x-6
We move all terms to the left:
5x+6-3(x+1)-(4x-6)=0
We multiply parentheses
5x-3x-(4x-6)-3+6=0
We get rid of parentheses
5x-3x-4x+6-3+6=0
We add all the numbers together, and all the variables
-2x+9=0
We move all terms containing x to the left, all other terms to the right
-2x=-9
x=-9/-2
x=4+1/2
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