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Let f : R → R be defined as f(x) = ae 2x + be x + cx. If f(0) = –1, f'(log e 2) = 21 and 2 39 dx ) cx ) x ( f ( 4 log 0 e = − ∫ , then the value of |a + b + c| equals

1. 12
2. 16
3. 10
4. 8

Correct answer: 8

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