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\frac{18}{5}x=360
Combine x and \frac{13}{5}x to get \frac{18}{5}x.
x=360\times \frac{5}{18}
Multiply both sides by \frac{5}{18}, the reciprocal of \frac{18}{5}.
x=\frac{360\times 5}{18}
Express 360\times \frac{5}{18} as a single fraction.
x=\frac{1800}{18}
Multiply 360 and 5 to get 1800.
x=100
Divide 1800 by 18 to get 100.