
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

For non-zero integers \( x \) and \( y \) we define \( x \nabla y = x^{y} + 4x \). For example, \( 2 \nabla 3 = 2^{3} + 4(2) = 16 \). Determine all real numbers \( x \) such that \( x \nabla 2 = 12 \).

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