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15x-13=8x-6
We move all terms to the left:
15x-13-(8x-6)=0
We get rid of parentheses
15x-8x+6-13=0
We add all the numbers together, and all the variables
7x-7=0
We move all terms containing x to the left, all other terms to the right
7x=7
x=7/7
x=1
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