
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 rectangle $PQRS$, $PQ=7$ and $QR = 4$. Points $M$ and $N$ are on $\overline{RS}$ such that $RM = 2$ and $SN=3$. Lines $PM$ and $QN$ intersect at $X$. Find the area of $\triangle PXQ$.

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