\[\frac{x + 14}{5} - \frac{6x + 1}{7} = 1\ \ | \cdot 35\]
\[7 \cdot (x + 14) - 5 \cdot (6x + 1) = 35\]
\[7x + 98 - 30x - 5 = 35\]
\[- 23x = 35 - 93\]
\[- 23x = - 58\]
\[x = \frac{58}{23}\]
\[\]