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2x+9=7x-49
We move all terms to the left:
2x+9-(7x-49)=0
We get rid of parentheses
2x-7x+49+9=0
We add all the numbers together, and all the variables
-5x+58=0
We move all terms containing x to the left, all other terms to the right
-5x=-58
x=-58/-5
x=11+3/5
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