2019 Fermat Problem 13

Tanis looked at her watch and noticed that, at that moment, it was 8x minutes after 7:00 a.m. and 7x minutes before 8:00 a.m. for some value of x. What time was it at that moment?

\textbf{(A)}\ 7:08 \text{ a.m.}\quad \textbf{(B)}\ 7:40 \text{ a.m.}\quad \textbf{(C)}\ 7:32 \text{ a.m.}\quad \textbf{(D)}\ 7:36 \text{ a.m.}\quad \textbf{(E)}\ 7:31 \text{ a.m.}

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