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x<-6\times \frac{7}{3}
Multiply both sides by \frac{7}{3}, the reciprocal of \frac{3}{7}. Since \frac{3}{7} is positive, the inequality direction remains the same.
x<\frac{-6\times 7}{3}
Express -6\times \frac{7}{3} as a single fraction.
x<\frac{-42}{3}
Multiply -6 and 7 to get -42.
x<-14
Divide -42 by 3 to get -14.