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LaTeX Error: Bad math environment delimiter求大神指导

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LaTeX Error: Bad math environment delimiter求大神指导

上述为错误提示,代码如下:

Suppose that $X(k)$  is the data sequence after modulation precoding and subcarrier mapping, where k represents the subcarrier index. Then the transmitted signal in time domain after IFFT can be expressed as

\begin{equation}

\[x\left( n \right) = \frac{1}{N}\sum\limits_{k = 0}^{N - 1} {X\left( k \right)\exp \left( {j2\pi \frac{{nk}}{N}} \right)} {\kern 1pt} {\kern 1pt} {\kern 1pt} ;{\kern 1pt} {\kern 1pt} {\kern 1pt} {\kern 1pt} {\kern 1pt} 0 \le n \le M - 1\]

\end{equation}

不知道错误在哪里应该怎么改啊,求解···

LaTeX Error: Bad math environment delimiter求大神指导
要么用equation环境,要么用\[ \],这两个不能嵌套