
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system
On the side \( AC \) of triangle \( ABC \), a point \( E \) is marked. It is known that the perimeter of triangle \( ABC \) is 25 cm, the perimeter of triangle \( ABE \) is 15 cm, and the perimeter of triangle \( BCE \) is 17 cm. Find the length of segment \( BE \).

Present the answer in LaTex format: \boxed{Your answer}
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