
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
Leia has two types of plants, Type X and Type Y, in her greenhouse. Type X plants double in number every 3 days, whereas Type Y plants triple every 4 days. Initially, Leia has 50 plants in total. After 12 days, she counts that there are 1042 plants in her greenhouse. How many Type X plants were there initially?

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