Find the simplest form of this boolean function $[x+(xy)]·[x + (x'y)]$

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$$ [x+(xy)]·[x + (x'y)]$$

My current belief is that it would be $0$ or $1$

but please correct me if I'm wrong

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\begin{align}[x + (xy)].[x + (x'y)] &=[x.(1 + y)].[x + y] \\&=[x].[x + y]\\&=x + x.y\\&=x . (1 + y)\\&=x\end{align}