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If the system of linear equations $x + y + z = 5$, $x + 2y + 2z = 6$, $x + 3y + \lambda z = \mu$, $(\lambda, \mu \in \mathbb{R})$, has infinitely many solutions, then the value of $\lambda + \mu$ is:
(1) $12$
(2) $9$
(3) $7$
(4) $10$
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