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10x+3=4x+7
We move all terms to the left:
10x+3-(4x+7)=0
We get rid of parentheses
10x-4x-7+3=0
We add all the numbers together, and all the variables
6x-4=0
We move all terms containing x to the left, all other terms to the right
6x=4
x=4/6
x=2/3
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