
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
On November 23, 2020, Guizhou announced that the last 9 deeply impoverished counties would be removed from the list of impoverished counties. This not only signifies that all 66 impoverished counties in Guizhou Province have achieved overall poverty alleviation, but also marks the completion of the national goal set by the State Council Poverty Alleviation Office to lift all 832 impoverished counties out of poverty. The national goal of poverty alleviation has been achieved. During the poverty alleviation process, after the county and township-level cadres in a certain area learned about the actual situation of a poor household during their assistance visits, they tailored a poverty alleviation plan for the family. The government provided an interest-free loan of 100,000 yuan to the farmer to raise sheep, with a profit of 0.15 yuan per yuan invested. If technical guidance is provided, the investment in raising sheep will be reduced by x (x > 0) yuan, and the profit per yuan will increase by a factor of (1 + 0.25x). If the profit from raising sheep after receiving technical guidance is not less than the original profit, find the range of values for x.

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