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7x+21=5x+43
We move all terms to the left:
7x+21-(5x+43)=0
We get rid of parentheses
7x-5x-43+21=0
We add all the numbers together, and all the variables
2x-22=0
We move all terms containing x to the left, all other terms to the right
2x=22
x=22/2
x=11
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