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

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

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The Answer of Find the Smallest$$\text { integer } a > 1 \text { such that } a + 1 \equiv 2 a ( \bmod 11 ) \text {. }$$

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