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4x+13=6x+15
We move all terms to the left:
4x+13-(6x+15)=0
We get rid of parentheses
4x-6x-15+13=0
We add all the numbers together, and all the variables
-2x-2=0
We move all terms containing x to the left, all other terms to the right
-2x=2
x=2/-2
x=-1
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