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\frac{3}{5}x=-7
Subtract 7 from both sides. Anything subtracted from zero gives its negation.
x=-7\times \frac{5}{3}
Multiply both sides by \frac{5}{3}, the reciprocal of \frac{3}{5}.
x=\frac{-7\times 5}{3}
Express -7\times \frac{5}{3} as a single fraction.
x=\frac{-35}{3}
Multiply -7 and 5 to get -35.
x=-\frac{35}{3}
Fraction \frac{-35}{3} can be rewritten as -\frac{35}{3} by extracting the negative sign.