2025 Cayley Problem 12

In the diagram, a number is to be written at each of the vertices of the three pentagons. Some of the numbers have already been written.

If the sum of the numbers at the vertices of each pentagon is to be 25, what is the value of x?

\textbf{(A)}\ 6\quad \textbf{(B)}\ 7\quad \textbf{(C)}\ 8\quad \textbf{(D)}\ 9\quad \textbf{(E)}\ 10

If there are no answer choices shown, enter a numerical answer.

Full credit to this problem is given to the CEMC, you may view all Cayley contests here.