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4x+9=13x-60
We move all terms to the left:
4x+9-(13x-60)=0
We get rid of parentheses
4x-13x+60+9=0
We add all the numbers together, and all the variables
-9x+69=0
We move all terms containing x to the left, all other terms to the right
-9x=-69
x=-69/-9
x=7+2/3
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