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I am trying to break a doublespace content without any success.

\documentclass{article}
\usepackage{amsmath, amssymb, graphics, setspace}

\begin{document}

\begin{doublespace}
\noindent \(\left\{\left\{ aaa \right\},
\\ ~ \\ ~ \\ ~ \\
\left\{bbb\right\}\right\}\)
\end{doublespace}

\end{document}

The part {bbb} does not go to the new line as if \\ has no effect in doublespace

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