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