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10x+3=7x-4=19
We move all terms to the left:
10x+3-(7x-4)=0
We get rid of parentheses
10x-7x+4+3=0
We add all the numbers together, and all the variables
3x+7=0
We move all terms containing x to the left, all other terms to the right
3x=-7
x=-7/3
x=-2+1/3
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