Samantha is planning a road trip and wants to calculate the total cost of fuel. Her car’s fuel tank capacity is 12 gallons, and she can drive 30 miles on one gallon of gas. The trip is 450 miles long. If the price of gas is $3.50 per gallon, how much will Samantha spend on fuel for the entire trip? Let's think step by step and output the final answer within \boxed{}.
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