Answer
$\left( -14,14 \right)$
Work Step by Step
Since for any $a\gt0$, $|x|\lt a$ implies $-a\lt x\lt a,$ then the given inequality, $
|x|\lt14
,$ is equivalent to
\begin{array}{l}\require{cancel}
-14\lt x\lt14
.\end{array}
Hence, the solution is the interval $
\left( -14,14 \right)
.$