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6x-7=9x+8
We move all terms to the left:
6x-7-(9x+8)=0
We get rid of parentheses
6x-9x-8-7=0
We add all the numbers together, and all the variables
-3x-15=0
We move all terms containing x to the left, all other terms to the right
-3x=15
x=15/-3
x=-5
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