$$\frac { 1 } { 6 } x - \frac { 3 } { 1 } \times \frac { - 5 } { 18 } \times \frac { 10 } { 9 }$$
$\frac{x}{6}+\frac{25}{27}$
$$\frac{1}{6}x-3\times \frac{-5}{18}\times \frac{10}{9}$$
$$\frac{1}{6}x-3\left(-\frac{5}{18}\right)\times \frac{10}{9}$$
$$\frac{1}{6}x-\frac{3\left(-5\right)}{18}\times \frac{10}{9}$$
$$\frac{1}{6}x-\frac{-15}{18}\times \frac{10}{9}$$
$$\frac{1}{6}x-\left(-\frac{5}{6}\times \frac{10}{9}\right)$$
$$\frac{1}{6}x-\frac{-5\times 10}{6\times 9}$$
$$\frac{1}{6}x-\frac{-50}{54}$$
$$\frac{1}{6}x-\left(-\frac{25}{27}\right)$$
$$\frac{1}{6}x+\frac{25}{27}$$
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$\frac{9x+50}{54}$
$$\frac{9x+50}{54}$$