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\frac{9}{4}x+\frac{3}{5}x=684
Combine x and \frac{5}{4}x to get \frac{9}{4}x.
\frac{57}{20}x=684
Combine \frac{9}{4}x and \frac{3}{5}x to get \frac{57}{20}x.
x=684\times \frac{20}{57}
Multiply both sides by \frac{20}{57}, the reciprocal of \frac{57}{20}.
x=\frac{684\times 20}{57}
Express 684\times \frac{20}{57} as a single fraction.
x=\frac{13680}{57}
Multiply 684 and 20 to get 13680.
x=240
Divide 13680 by 57 to get 240.