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2x+122=180-2x+22
We move all terms to the left:
2x+122-(180-2x+22)=0
We add all the numbers together, and all the variables
2x-(-2x+202)+122=0
We get rid of parentheses
2x+2x-202+122=0
We add all the numbers together, and all the variables
4x-80=0
We move all terms containing x to the left, all other terms to the right
4x=80
x=80/4
x=20
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