\[|7x - 3| = 4\]
\[7x - 3 = 4\ \ \ \ \ \ \ \ \ \ \ 7x - 3 = - 4\]
\[7x = 7\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 7x = - 1\]
\[x = 1\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ x = - \frac{1}{7}\]
\[Ответ:x = - \frac{1}{7};\ \ x = 1.\]