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If we write this as an equation, we get

\begin{equation*} 20x = 23 + 14k\text{,} \end{equation*}

or equivalently \(20x - 14k = 23\text{.}\) We can easily see there will be no solution to this equation in integers. The left-hand side will always be even, but the right-hand side is odd. A similar problem would occur if the right-hand side was divisible by any number the left-hand side was not.

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