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51x+\frac{81}{43}-79x=0
Subtract 79x from both sides.
-28x+\frac{81}{43}=0
Combine 51x and -79x to get -28x.
-28x=-\frac{81}{43}
Subtract \frac{81}{43} from both sides. Anything subtracted from zero gives its negation.
x=\frac{-\frac{81}{43}}{-28}
Divide both sides by -28.
x=\frac{-81}{43\left(-28\right)}
Express \frac{-\frac{81}{43}}{-28} as a single fraction.
x=\frac{-81}{-1204}
Multiply 43 and -28 to get -1204.
x=\frac{81}{1204}
Fraction \frac{-81}{-1204} can be simplified to \frac{81}{1204} by removing the negative sign from both the numerator and the denominator.