
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 $\triangle ABC$, $AB = 33 \text{ cm}$, $AC = 21 \text{ cm}$ and $BC = x \text{ cm}$, where $x$ is an integer. $D$ is a point on segment $AB$ and $E$ is a point on segment $AC$ such that $AD = DE = EC = y \text{ cm}$, where $y$ is also an integer. Find $x$.

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