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5x-7=9x+6
We move all terms to the left:
5x-7-(9x+6)=0
We get rid of parentheses
5x-9x-6-7=0
We add all the numbers together, and all the variables
-4x-13=0
We move all terms containing x to the left, all other terms to the right
-4x=13
x=13/-4
x=-3+1/4
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