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x>5\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{5\times 7}{3}
Express 5\times \frac{7}{3} as a single fraction.
x>\frac{35}{3}
Multiply 5 and 7 to get 35.