
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]


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In a garden with three intersecting flower beds, beds X and Y contain 600 plants and 500 plants respectively, beds Y and Z contain 500 and 400 plants respectively, and beds X and Z contain 600 and 400 plants respectively. Additionally, 100 plants are shared between beds X and Y, 80 plants are shared between beds Y and Z, and 120 plants are shared between beds X and Z. Furthermore, 30 plants are shared among all three beds. Calculate the total number of distinct plants present in these beds.

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