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117=40x+50-77x
Add 70 and 47 to get 117.
117=-37x+50
Combine 40x and -77x to get -37x.
-37x+50=117
Swap sides so that all variable terms are on the left hand side.
-37x=117-50
Subtract 50 from both sides.
-37x=67
Subtract 50 from 117 to get 67.
x=\frac{67}{-37}
Divide both sides by -37.
x=-\frac{67}{37}
Fraction \frac{67}{-37} can be rewritten as -\frac{67}{37} by extracting the negative sign.