
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 the triangle \(ABC\), \(AB = 70\). The point \(X\) is on line \(AB\) such that \(CX\) bisects \(\angle ACB\). Given \(AC = 42\) and \(BC = 56\), find the length of \(AX\).

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