We know that the population of bears increased by 10 from Year 1 to Year 2. So, if we add this increase to the number of bears in Year 1, we should get the total number of bears in Year 2, which is 42. Hence, we solve for x using the equation x + 10 = 42 to determine that there were 32 bears in the park during Year 1.

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Population of bears in Year 1: 32