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Find the Smallest Integer a>1 Such that a+12a(mod11)a > 1 \text { Such that } a + 1 \equiv 2 a ( \bmod 11 ) \text {. }

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Find the smallest integer a>1 Such that a+12a(mod11)a > 1 \text { Such that } a + 1 \equiv 2 a ( \bmod 11 ) \text {. }

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