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(7x+34)+(10x-23)=180
We move all terms to the left:
(7x+34)+(10x-23)-(180)=0
We get rid of parentheses
7x+10x+34-23-180=0
We add all the numbers together, and all the variables
17x-169=0
We move all terms containing x to the left, all other terms to the right
17x=169
x=169/17
x=9+16/17
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