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If \(11\) divides \(3x\) (where \(x \in \mathbb{Z}\)), we can conclude that \(11\) divides \(x\). Which property justifies this?

Gauss's Theorem, since \(\gcd(11,3)=1\).
The existence of a prime divisor.
Bézout's Identity, because \(11+3=14\).