
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
Given two lines in a coordinate plane, where the first line passes through points (0, 5) and (10, 2) and the second line passes through points (2, 6) and (8, 1), find the area of the shaded region bounded by these lines and the x-axis from x = 2 to x = 8.
A) $11.67$
B) $12.50$
C) $13.33$
D) $14.15$

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