
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 a circle, chords \( AC \) and \( BD \) intersect at point \( E \). The tangent to the circle passing through point \( A \) is parallel to \( BD \). It is known that \( CD:ED = 3:2 \) and the area of triangle \( \Delta ABE \) is 8. Find the area of triangle \( \Delta ABC \).

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