
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
Consider a right triangle $\triangle PQR$ situated in the Cartesian plane with vertices $P = (0, 4)$, $Q = (0,0)$, and $R = (6,0)$. A vertical line $x = b$ divides the triangle into two regions of equal area. Find the value of $b$.
A) $x = 2$
B) $x = 3$
C) $x = 4$
D) $x = 5$

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