
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
Given that in an opaque bag, there are a total of $20$ balls, some red and some white, and after mixing the balls in the bag and drawing one ball $100$ times with replacement, we have $30$ draws result in red balls, estimate the number of red balls in the bag.

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