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4x+13=6x-9
We move all terms to the left:
4x+13-(6x-9)=0
We get rid of parentheses
4x-6x+9+13=0
We add all the numbers together, and all the variables
-2x+22=0
We move all terms containing x to the left, all other terms to the right
-2x=-22
x=-22/-2
x=+11
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