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\frac{35}{24}x=58
Combine \frac{5}{8}x and \frac{5}{6}x to get \frac{35}{24}x.
x=58\times \frac{24}{35}
Multiply both sides by \frac{24}{35}, the reciprocal of \frac{35}{24}.
x=\frac{58\times 24}{35}
Express 58\times \frac{24}{35} as a single fraction.
x=\frac{1392}{35}
Multiply 58 and 24 to get 1392.