
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
Given the current year's January CPI increase of 4.9% year-on-year and 1.0% month-on-month, and the projected February CPI food price increase of 2% month-on-month and 9.0% year-on-year, derive the equation representing the average annual growth rate $x$ of CPI food prices from the end of last year to February of this year.

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