
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
In triangle `ABC`, point `X` lies on segment `AB` such that `CX` bisects the angle `ACB`, `AC = 18`, `BC = 36`, and `BX = 15`. Find the length of segment `AX`.

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