Clock angles - 4

Geometry Level 2

John looks at his clock at 6:44p.m. After \(x\) minutes, he finds that the hour hand and the minute hand form a straight line.

\(x\) can be written in the form \(a\frac{b}{c}\) where \(b\) and \(c\) are relatively prime.

Find \(a+b+c\)

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