$$\frac{2}{7}(x-9)+\frac{x}{3}=3$$
$x=9$
$$6\left(x-9\right)+7x=63$$
$$6x-54+7x=63$$
$$13x-54=63$$
$$13x=63+54$$
$$13x=117$$
$$x=\frac{117}{13}$$
$$x=9$$
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