
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
Let \[ f(x) =
\begin{cases} 
7x + 10 & \text{if } x \leq 1, \\
3x - 15 & \text{if } x > 1.
\end{cases} \]
Find the sum of all possible values of \( x \) for which \( f(x) = 0 \).

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