
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
Let a region be bounded by the x-axis, the line \( x=8 \), and the curve \( f \) defined as \( f=\{(x, y) \mid y=x \) for \( 0 \leqslant x \leqslant 5 \) and \( y=2x-5 \) for \( 5 \leqslant x \leqslant 8 \) \}. Find the area of this region.

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