$$\frac { 4 x } { 9 } + 2 = 4 \frac { 2 } { 3 }$$
$x=6$
$$4x+18=3\left(4\times 3+2\right)$$
$$4x+18=3\left(12+2\right)$$
$$4x+18=3\times 14$$
$$4x+18=42$$
$$4x=42-18$$
$$4x=24$$
$$x=\frac{24}{4}$$
$$x=6$$
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