$$\left. \begin{array} { l } { \frac { x } { 7 } - \frac { 3 x - 1 } { 5 } + 3 = 0 } \end{array} \right.$$
$x=7$
$$5x-7\left(3x-1\right)+105=0$$
$$5x-21x+7+105=0$$
$$-16x+7+105=0$$
$$-16x+112=0$$
$$-16x=-112$$
$$x=\frac{-112}{-16}$$
$$x=7$$
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