
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
Point  $A$ ,  $B$ ,  $C$ , and  $D$  form a rectangle in that order. Point  $X$  lies on  $CD$ , and segments  $\overline{BX}$  and  $\overline{AC}$  intersect at  $P$ . If the area of triangle  $BCP$  is 3 and the area of triangle  $PXC$  is 2, what is the area of the entire rectangle?

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