Brands lost the first set to Simon but wound up winning 3-6, 6-4, 6-3.
In other second-round action, Spaniard Ivan Navarro won 7-5, 7-6 (7-2) over fourth-seeded fellow countryman Tommy Robredo; Spain's Guillermo Garcia-Lopez beat fifth-seeded Swiss Stanislas Wawrinka 6-2, 6-4; and Pablo Cuevas of Uruguay defeated ninth-seeded Austrian Jurgen Melzer 7-6 (7-5), 6-3.
Also, eighth-seeded German Philipp Kohlschreiber beat Italian Potito Starace 6-2, 4-6, 6-4; 10th-seeded Viktor Troicki of Serbia won 3-6, 6-2, 6-4 over Russian Teimuraz Gabashvili; and France's Paul-Henri Mathieu beat Spaniard Pere Riba 6-1, 2-6, 7-6 (7-3).
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