
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 has another homework paper with a similar issue where ink has covered the coefficient of $x$. He recalls that this quadratic equation also has two distinct negative, integer solutions. What is the sum of all possible integers that could be under the ink stain, given that the constant term is now 24?

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