
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
Given the original price of a backpack is $120.00 and the sales tax rate is 7%, if Alex calculates the final price by adding 7% sales tax on the original price first and then applying a 15% discount to this total, and if Sam calculates the final price by subtracting 15% of the price first and then adding 7% sales tax on the reduced price and finally adding a fixed packaging fee of $2.50, calculate Alex's total minus Sam's total.

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