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

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