
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
Huarun supermarket sells a kind of mooncake, with an average daily sales of 80 boxes and a profit of $30$ yuan per box. In order to expand sales, the supermarket is preparing to reduce the price appropriately. According to the calculation, if the price of each box is reduced by $5$ yuan, an average of 20 more boxes can be sold per day. If the goal is to make a profit of $2496$ yuan per day from the sales of this kind of mooncake, and to benefit the customers, how much should the price of each box be reduced by?

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