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Given \(\Vect{u}=\begin{pmatrix} x-2 \\ 4 \end{pmatrix}\) and \(\Vect{v}=\begin{pmatrix} 2 \\ 3-x \end{pmatrix}\), solve for \(x\) such that the vectors \(\Vect{u}\) and \(\Vect{v}\) are orthogonal.
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