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4x+61=9x+6
We move all terms to the left:
4x+61-(9x+6)=0
We get rid of parentheses
4x-9x-6+61=0
We add all the numbers together, and all the variables
-5x+55=0
We move all terms containing x to the left, all other terms to the right
-5x=-55
x=-55/-5
x=+11
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