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Duke Blue Devils forward Marvin Bagley III recorded 32 points and 21 rebounds in Saturday's win over Florida State. Rob Kinnan-USA TODAY Sports

DURHAM, N.C. -- Trevon Duval scored on a pair of late-game drives to the basket as fourth-ranked Duke survived for a 100-93 victory against No. 24 Florida State on Saturday afternoon at Cameron Indoor Stadium.

Marvin Bagley III's 32 points and 21 rebounds led Duke (13-1), which was in danger of dropping to 0-2 in the Atlantic Coast Conference.

Grayson Allen's 22 points, Duval's 16, Wendell Carter Jr.'s 14 and 16 rebounds and Gary Trent Jr.'s 13 points contributed to the high-scoring game.

Duke closed the game on an 11-2 run.

Florida State's Phil Cofer posted 28 points, scoring 22 first-half points on 9-for-10 shooting from the field.

Braian Angola poured in 23 points, while M.J. Walker and Mfiondu Kabengele both added 10 points for the Seminoles (11-2, 0-1).

Duke held a 53-35 rebounding edge.

Angola's 3-pointer gave Florida State a 91-89 lead with four minutes left.

Duval's basket tied the game at 93 before Carter's go-ahead dunk. Duval then pushed the lead to 97-93 with another drive to the lane.

Duke stormed into the second-half lead with a 14-0 run that was capped by Allen's two free throws courtesy of a technical foul assessed to the Florida State bench. Bagley, Allen and Trent all hit 3-pointers during the burst as the Blue Devils were up 61-55.

But the Seminoles bounced back to go ahead with more than nine minutes left, using a 10-2 run.

By the 6:31 mark, Duke was in the lead at 82-81, but Bagley, Carter and Duval all had four fouls.

It was tight throughout. Florida State scored seven of the last eight points of the first half for a 49-45 advantage at the break. The Seminoles shot 50 percent from the field in the opening 20 minutes and were charged with only five turnovers.

Duke made 12 of its first 15 shots from inside the arc, but led only 31-28 because of 1-for-8 shooting on 3s. The Blue Devils were 2-for-12 from 3-point range and 7-for-14 on free throws in the half.

Duval played only nine first-half minutes because of foul trouble.

NOTES: Duke has won 11 consecutive ACC home openers. ... Florida State opened ACC play against a nationally ranked Duke team for the fourth time. ... Florida State made 19 baskets from 3-point range in its previous game against Southern Mississippi. The Seminoles were 15-for-32 from long range Saturday. ... Florida State was 11-1 for the second season in a row. ... Both Duke and Florida State defeated Florida in non-league play. ... F Javin DeLaurier, Duke's top reserve, returned after missing the previous game with a hamstring ailment. ... Duke played only once in the previous 20 days, routing visiting Evansville on Dec. 20. ... Florida State is home Wednesday night against North Carolina. ... Duke is off until next Saturday at North Carolina.