
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
Consider the set of numbers \[7, 3, 3, 1, x, 1, 1, 1\]. When the mean, median, and mode of this list are arranged in increasing order, they also form a non-constant arithmetic progression. Find the sum of all possible values of $x$.
A) 58
B) 78
C) 88
D) 98

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