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7x+1=2x+100
We move all terms to the left:
7x+1-(2x+100)=0
We get rid of parentheses
7x-2x-100+1=0
We add all the numbers together, and all the variables
5x-99=0
We move all terms containing x to the left, all other terms to the right
5x=99
x=99/5
x=19+4/5
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