
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
Consider a triangle $\triangle ABC$, where point $X$ lies on line segment $AB$. $X$ is such that $CX$ bisects $\angle ACB$. Given that $AB = 45$, $BC = 32$ and segment $BX = 20$, find the length of segment $AX$.

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