If xy + z = x(y + z), which of the following must be true?

If xy + z = x(y + z), which of the following must be true?

(A) x = 0 and y = 0
(B) x = 1 and y = 1
(C) y = 1 and z = 0
(D) x = 1 or y = 0
(E) x = 1 or z = 0

Correct Answer: E

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