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10x-7=-10x-3
We move all terms to the left:
10x-7-(-10x-3)=0
We get rid of parentheses
10x+10x+3-7=0
We add all the numbers together, and all the variables
20x-4=0
We move all terms containing x to the left, all other terms to the right
20x=4
x=4/20
x=1/5
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