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3x-7=-5x-3
We move all terms to the left:
3x-7-(-5x-3)=0
We get rid of parentheses
3x+5x+3-7=0
We add all the numbers together, and all the variables
8x-4=0
We move all terms containing x to the left, all other terms to the right
8x=4
x=4/8
x=1/2
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