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The solution of 8x + 1 = 5 + 3x (mod 12) is x = a (mod m) for some positive integers $m \geq 2$ and a < m.  Find a + m.

 
 Jan 8, 2022
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8x + 1 = 5 + 3x (mod 12)

5x = 4 (mod 12)

5(5x) = 4(5) mod (12)

x = 8 mod (12)

 

=^._.^=

 
 Jan 9, 2022

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