
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 that there are 5 steel balls of the same size in a bag, each marked with the numbers 1, 2, 3, 4, and 5, calculate the total number of possible values of the sum of the numbers on the two balls drawn with replacement.

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