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A plane passing through the point $(3, 1, 1)$ contains two lines whose direction ratios are $1, -2, 2$ and $2, 3, -1$ respectively. If this plane also passes through the point $(\alpha, -3, 5)$, then $\alpha$ is equal to:
(1) $5$
(2) $-10$
(3) $10$
(4) $-5$
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