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If the system of linear equations $2x + 2y + 3z = a$, $3x - y + 5z = b$, $x - 3y + 2z = c$, where $a, b, c$ are non-zero real numbers, has more than one solution, then:
(1) $b - c + a = 0$
(2) $b - c - a = 0$
(3) $a + b + c = 0$
(4) $b + c - a = 0$
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