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Eminem's little girl -- who has been the focus of many of his songs over the years -- is all grown up ... and prepping to walk down the aisle.

27-year-old Hailie Jade announced Monday that her boyfriend, Evan McClintock, popped the question ... and she said yes. She threw up a little slide show capturing the sweet moment -- which looked to be coupled with some champagne and snazzy winter wear.

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