
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
Two rectangles, $8 \times 10$ and $12 \times 9$, are overlapped as shown in the diagram. The area of the black part is 37. What is the area of the gray part? If necessary, round your answer to 0.01 or write the answer as a common fraction.

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