
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 clothing store found in its sales that a certain brand of clothing can sell an average of 20 pieces per day, with a profit of $40 per piece. In order to prepare for "Double Eleven," the mall decided to take appropriate price reduction measures to increase profits and reduce inventory. According to market research, if the price of each piece of clothing is reduced by $4, then an average of 8 more pieces can be sold per day. If you want to make a profit of $1200 per day on average by selling this type of clothing, how much should the price of each piece of clothing be reduced by?

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