$$\frac{4x}{9}+\frac{7x}{8}=18$$
$x = \frac{1296}{95} = 13\frac{61}{95} \approx 13.642105263$
$$8\times 4x+9\times 7x=1296$$
$$32x+9\times 7x=1296$$
$$32x+63x=1296$$
$$95x=1296$$
$$x=\frac{1296}{95}$$
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