The world number eight, playing in his first tournament since the Miami Open, sent down 19 aces and won 93% of points on his first serve.
Up next for the towering South African, who reached last year's Wimbledon final, is Gilles Simon or another local hope in qualifier James Ward.
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Daniil Medvedev, seeded fourth, powered past Spanish veteran Fernando Verdasco 6-2 6-4 to move into the next round where he was joined by Marin Cilic who staved off a late comeback attempt by Cristian Garin to prevail 6-1 7-6(5).
French qualifier Nicholas Mahut overcame American Frances Tiafoe 6-3 7-6(5) while Diego Schwartzman of Argentina beat Alexander Bublik 6-2 6-3 to set up a meeting with Cilic.
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