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(x+10)+(x+24)=180
We move all terms to the left:
(x+10)+(x+24)-(180)=0
We get rid of parentheses
x+x+10+24-180=0
We add all the numbers together, and all the variables
2x-146=0
We move all terms containing x to the left, all other terms to the right
2x=146
x=146/2
x=73
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