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4x-9=11x-61
We move all terms to the left:
4x-9-(11x-61)=0
We get rid of parentheses
4x-11x+61-9=0
We add all the numbers together, and all the variables
-7x+52=0
We move all terms containing x to the left, all other terms to the right
-7x=-52
x=-52/-7
x=7+3/7
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