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-\frac{17}{19}x=-51
Subtract 51 from both sides. Anything subtracted from zero gives its negation.
x=-51\left(-\frac{19}{17}\right)
Multiply both sides by -\frac{19}{17}, the reciprocal of -\frac{17}{19}.
x=\frac{-51\left(-19\right)}{17}
Express -51\left(-\frac{19}{17}\right) as a single fraction.
x=\frac{969}{17}
Multiply -51 and -19 to get 969.
x=57
Divide 969 by 17 to get 57.