Expectation of product of matrices

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Let $H$ be a random matrix, and $x$ be a random vector with $E[xx^{H}]=R$. They are independent.

I want to calculate $E[Hxx^{H}H^{H}]$, where $A^{H}$ is a Hermitian of $A$.

Does the equation $E[Hxx^{H}H^{H}]=E[HRH^{H}]$ hold?