\(\left(x-2013\right)^{2014}=1\)
\(\Rightarrow\left(x-2013\right)^{2014}=1^{2014}\)
\(\Rightarrow\left[{}\begin{matrix}x-2013=1\\x-2013=-1\end{matrix}\right.\)
\(\Rightarrow\left[{}\begin{matrix}x=2014\\x=2012\end{matrix}\right.\)
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