Answer :

we have the following:

[tex]AC=AB+BC[/tex]

replacing:

[tex]\begin{gathered} AC=AB+BC \\ AB=BC \\ 13x+25=9x+9x \\ 18x-13x=25 \\ 5x=25 \\ x=\frac{25}{5} \\ x=5 \end{gathered}[/tex]

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