
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
Find the length of side $x$ in a quadrilateral split into two triangles sharing side $AB$, where quadrilateral sides are given as:
- $AD = 6$ units
- $DC = 11$ units
- $CB = 6$ units
- $BA = x$ units
- $AC$ (diagonal) = 14 units

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