If $\begin{vmatrix}x+\alpha&\beta&\gamma\\\alpha&x+\beta&\gamma\\\alpha&\beta&x+\gamma\end{vmatrix}=0$ then $4x$ is equal to

Question

$\begin{array}{1 1}(A)\;0,-(\alpha+\beta+\gamma)&(B)\;0,(\alpha+\beta+\gamma)\\(C)\;1,(\alpha+\beta+\gamma)&(D)\;0,(\alpha^2+\beta^2+\gamma^2)\end{array}$