
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
Let \(ABCD\) be a rectangle with \(AB=20\) and \(AD=23\). Let \(M\) be the midpoint of \(CD\), and let \(X\) be the reflection of \(M\) across point \(A\). Compute the area of triangle \(XBD\).

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