
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
Determine the area of the shaded region formed by the intersection of two lines described by the points (0,5) and (10,2) for the first line, and points (2,6) and (6,0) for the second line. Calculate the area between the x-values 2 and 6 where these lines overlap.
A) 6
B) 7.5
C) 8
D) 9

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