
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 the total number of yuan spent on magazines be $x$ yuan. Eight magazines priced at 2 yuan each and three magazines priced at 1 yuan each are purchased. If a total of at most one copy of each type is purchased, calculate the number of different purchasing methods to spend exactly 10 yuan on magazines.

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