
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 \(ABC\), the length of segment \(EC\) is twice the length of segment \(BE\), and the length of segment \(CD\) is twice the length of segment \(AD\). Given that the area of triangle \(BDE\) is 14 square centimeters, what is the area of triangle \(ABC\) in square centimeters?

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