
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 brand clothing store is selling a particular garment. On average, they can sell 20 pieces per day, with a profit of $60 per piece. In order to increase sales and profits, the store has implemented a price reduction measure and found that for every $1 decrease in unit price, they can sell an additional 2 pieces per day.  
$(1)$ If the price of each garment is reduced by $x$ dollars, how many pieces are sold on average per day? (Express in terms of $x$)  
$(2)$ When the price of each garment is reduced by how many dollars, the daily profit of the brand clothing store is $2400?

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