\[|x + 1| = 2\]
\[x + 1 = 2\ \ \ или\ \ \ x + 1 = - 2\]
\[\ \ \ \ \ \ \ \ x = 1\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ x = - 3\]
\[Ответ:x = 1;\ x = - 3.\]