
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
A department store sells a batch of branded clothing, with an average daily sale of 20 pieces, making a profit of 40 yuan per piece. To increase profits, the store decided to adopt appropriate price reduction measures. After investigation, it was found that for every 1 yuan reduction in the price of each piece of clothing, the store could sell an additional 2 pieces per day on average. If the store wants to make an average daily profit of 1200 yuan while providing benefits to customers, how much should the price of each piece of clothing be reduced?

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