$$\frac { 6 } { 7 } x - \frac { 4 } { 6 } + \frac { 1 } { 8 } - \frac { 3 } { 6 } \times \frac { 1 } { 7 }$$
$\frac{6x}{7}-\frac{103}{168}$
$$\frac{6}{7}x-\frac{2}{3}+\frac{1}{8}-\frac{3}{6}\times \frac{1}{7}$$
$$\frac{6}{7}x-\frac{16}{24}+\frac{3}{24}-\frac{3}{6}\times \frac{1}{7}$$
$$\frac{6}{7}x+\frac{-16+3}{24}-\frac{3}{6}\times \frac{1}{7}$$
$$\frac{6}{7}x-\frac{13}{24}-\frac{3}{6}\times \frac{1}{7}$$
$$\frac{6}{7}x-\frac{13}{24}-\frac{1}{2}\times \frac{1}{7}$$
$$\frac{6}{7}x-\frac{13}{24}-\frac{1\times 1}{2\times 7}$$
$$\frac{6}{7}x-\frac{13}{24}-\frac{1}{14}$$
$$\frac{6}{7}x-\frac{91}{168}-\frac{12}{168}$$
$$\frac{6}{7}x+\frac{-91-12}{168}$$
$$\frac{6}{7}x-\frac{103}{168}$$
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$\frac{144x-103}{168}$
$$\frac{144x-103}{168}$$
$$144x-103$$
