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6x-15=9x+16
We move all terms to the left:
6x-15-(9x+16)=0
We get rid of parentheses
6x-9x-16-15=0
We add all the numbers together, and all the variables
-3x-31=0
We move all terms containing x to the left, all other terms to the right
-3x=31
x=31/-3
x=-10+1/3
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