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Answer:
x = 27
Step-by-step explanation:
similar triangles
[tex]\frac{x-7}{x+13}=\frac12[/tex]
after "cross multiplying" we remove both factors and get:
[tex]2\cdot(x-7)=1\cdot(x+13)\\ 2x-14=x+13\\ 2x-x=14+13\\ \boxed{x=27}[/tex]