
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
On Halloween, Peter ate $\frac{1}{2}$ of his candies and then gave $3$ candies to his brother. The next day, he ate $\frac{1}{2}$ of his remaining candies and then gave $5$ candies to his sister. On the third day, he ate his final $6$ candies. How many candies did Peter have at the beginning?
- A) 42
- B) 48
- C) 50
- D) 54
- E) 60

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