$$\frac{4x}{9}+\frac{7x}{8}=11$$
$x = \frac{792}{95} = 8\frac{32}{95} \approx 8.336842105$
$$8\times 4x+9\times 7x=792$$
$$32x+9\times 7x=792$$
$$32x+63x=792$$
$$95x=792$$
$$x=\frac{792}{95}$$
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