
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
Emily's class consists of 420 students. At the graduation ceremony, the students will sit arranged in rows with the same number of students in each. There should be at least 12 rows and at least 18 students in each row. Determine the sum of all possible values of $x$, where $x$ is the number of students in each row.

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