9514 1404 393
Answer:
x = 5
Step-by-step explanation:
The segment lengths are proportional.
[tex]\dfrac{7+14x}{22}=\dfrac{35}{35-25\\}\\\\7+14x = 77\qquad\text{multiply by 22}\\\\14x=70\qquad\text{subtract 7}\\\\\boxed{x=5}\qquad\text{divide by 14}[/tex]
