
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
Points $A, B, C, D, X$ are located on a plane. Some segment lengths are known: $AC = 2$, $AX = 5$, $AD = 11$, $CD = 9$, $CB = 10$, $DB = 1$, $XB = 7$. Find the length of segment $CX$.

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