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3x-9=7-8x
We move all terms to the left:
3x-9-(7-8x)=0
We add all the numbers together, and all the variables
3x-(-8x+7)-9=0
We get rid of parentheses
3x+8x-7-9=0
We add all the numbers together, and all the variables
11x-16=0
We move all terms containing x to the left, all other terms to the right
11x=16
x=16/11
x=1+5/11
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