I'm having some trouble finding a simplified solution for $x$ in the equation below, where $Y$ and $Z$ are square $n \times n$ matrices with non-zero determinant for $(Y+Z)$, and $w$ is an $n$-dimensional vector:
$$x^{T}(Y + Z) = w^{T}$$
Does anyone have any suggestions on how to approach this problem? I've been stuck on this for a while and feel like I am missing something very simple. Any help would be appreciated, thanks!