Prove ${e}^{x}$, $x\in\mathbb{Z}$ is irrational

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I was thinking of random problems in my head when this came to mind. But I have absolutely no idea how to solve it, so I can't show my attempts. Please help me with this.

Prove $\boldsymbol{e^x}$, $\boldsymbol{x\in\mathbb{Z}}$ is irrational