
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
Find the area of the shaded region bounded by two lines and the x-axis between \(x = 2\) and \(x = 6\). The equations of the lines are given by \(y = -\frac{1}{2}x + 5\) and \(y = -\frac{3}{4}x + 7\).
A) \(2\)
B) \(3\)
C) \(4\)
D) \(5\)

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