
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
Find the solution to the equation $15x + 2 \equiv 7 \pmod{20}$, where the solution has the form $x \equiv a \pmod{m}$ for some positive integers $m \geq 2$ and $a < m$. What is $a + m$?

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