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-5x+6=13x-9
We move all terms to the left:
-5x+6-(13x-9)=0
We get rid of parentheses
-5x-13x+9+6=0
We add all the numbers together, and all the variables
-18x+15=0
We move all terms containing x to the left, all other terms to the right
-18x=-15
x=-15/-18
x=5/6
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