
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
You have a list of real numbers whose sum is 40. If you replace every number \( x \) on the list by \( 1 - x \), the sum of the new numbers will be 20. If instead you had replaced every number \( x \) by \( 1 + x \), what would the sum then be?

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