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9x-5=7x-13
We move all terms to the left:
9x-5-(7x-13)=0
We get rid of parentheses
9x-7x+13-5=0
We add all the numbers together, and all the variables
2x+8=0
We move all terms containing x to the left, all other terms to the right
2x=-8
x=-8/2
x=-4
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