
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
Let x be the number of black candies Yehudi ate. The number of black candies remaining is 200 * 0.9 - x = 180 - x. The number of remaining candies is 200 - x. The number of black candies in the remaining candies is 80% of (200 - x), which is 0.8(200 - x). Set up and solve the equation: 180 - x = 0.8(200 - x)

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