
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
Milton spilled some ink on his homework paper covering the constant term of his quadratic equation. He recalls that the equation has two distinct negative, integer solutions. He can still read the coefficient of \(x\) which is 24. What is the sum of all possible distinct integers that could be under the ink stain?

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