
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 list \[12, -3, x, 7, -3, x, -3\]. When the mean, median, and mode of this list are arranged in increasing order, they form a non-constant arithmetic progression. Determine the sum of all possible values of \( x \).
A) -0.92
B) 54.042
C) 10
D) 22.5
E) 60

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