
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

Insert numbers in place of the ellipses so that the expression \(\left(x^{2}+\ldots \times x+2\right) \times (x+3) = (x+\ldots) \times \left(x^{2}+\ldots \times x+6\right)\) becomes an identity.

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