
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 shirts, with an average daily sale of 20 pieces, making a profit of 40 yuan per piece. In order to increase sales volume, increase profits, and reduce inventory as soon as possible, the store decides to take appropriate price reduction measures. Market research has found that if the price of each shirt is reduced by 1 yuan, then the store can sell an additional 2 pieces per day on average. If the store wants to achieve an average daily profit of 1200 yuan, how much should the price of each shirt be reduced?

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