
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 all real numbers $x, x[x\{x(3-x)-5\}+12]+2=$
A) $-x^4 + 3x^3 - 5x^2 + 12x + 2$
B) $-x^4 - 3x^3 + 5x^2 - 12x - 2$
C) $x^4 - 3x^3 + 5x^2 + 12x + 2$
D) $x^4 + 3x^3 - 5x^2 + 12x - 2$
E) $-x^4 + 3x^3 + 5x^2 + 12x + 2$

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