
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 $(1-2x)^n$ $(n \in \mathbb{N}^*)$, the binomial coefficients of the third term and the eighth term in the expanded form are equal. Find the sum of the coefficients of all terms in the expansion.

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