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2x-10=9x+29
We move all terms to the left:
2x-10-(9x+29)=0
We get rid of parentheses
2x-9x-29-10=0
We add all the numbers together, and all the variables
-7x-39=0
We move all terms containing x to the left, all other terms to the right
-7x=39
x=39/-7
x=-5+4/7
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