
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 certain clothing store found in its sales that for a certain brand of clothing with a cost price of $50$ yuan per item and a selling price of $90 yuan per item, an average of 20 items can be sold per day. Now, the clothing store has decided to take appropriate price reduction measures to increase sales volume and profits. A market survey revealed that if the price of each item is reduced by $1$ yuan, then an average of 2 more items can be sold per day. Find out by how much should the price be reduced per item from the original selling price of $90$ yuan so that the store can make a profit of $1200$ yuan per day on average from selling this type of clothing, while also ensuring that customers get more benefits.

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