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-9x+49-78+23x=0
Combine 4x and -13x to get -9x.
-9x-29+23x=0
Subtract 78 from 49 to get -29.
14x-29=0
Combine -9x and 23x to get 14x.
14x=29
Add 29 to both sides. Anything plus zero gives itself.
x=\frac{29}{14}
Divide both sides by 14.