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If for some $\alpha$ and $\beta$ in $\mathbb{R}$, the intersection of the following three planes $x + 4y - 2z = 1$, $x + 7y - 5z = \beta$, $x + 5y + \alpha z = 5$ is a line in $\mathbb{R}^3$, then $\alpha + \beta$ is equal to:
(1) $0$
(2) $10$
(3) $2$
(4) $-10$
BETA
