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4x+9-6(x+1)=5x+6
We move all terms to the left:
4x+9-6(x+1)-(5x+6)=0
We multiply parentheses
4x-6x-(5x+6)-6+9=0
We get rid of parentheses
4x-6x-5x-6-6+9=0
We add all the numbers together, and all the variables
-7x-3=0
We move all terms containing x to the left, all other terms to the right
-7x=3
x=3/-7
x=-3/7
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