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9x-6=10x-7
We move all terms to the left:
9x-6-(10x-7)=0
We get rid of parentheses
9x-10x+7-6=0
We add all the numbers together, and all the variables
-1x+1=0
We move all terms containing x to the left, all other terms to the right
-x=-1
x=-1/-1
x=1
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