The defending champion raced into a 4-0 lead in the first set before being pegged back by Gavrilova in a match lasting almost one hour 20 minutes.
That was all we saw from the Aussie and Kvitova closed the set with a break at love in game eight, hoping for more of the same in the rest of the match.
The top-seeded Spaniard struggled in windy conditions against the tenacious Czech, who has won their last three encounters on grass. This time, she has had only two.
"I get this question very often and I can't answer".
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Kane was pleased with the manner of victory but cautioned there's still a long way to go if England are to lift the trophy. There is no denying it, England did the business and then some in their second game of the 2018 World Cup this afternoon.
Muguruza lost in the semifinals here previous year but at least gained four useful warmup matches before Wimbledon.
The second time around in terms of fielding questions about her title defence, and Muguruza seems to be handling the whole furore far better than she did previous year as Roland Garros loomed up.
"I'm a fighter and I like to fight, on and off the court", said Strycova.
Fourth-seeded Czech Petra Kvitova, twice a Wimbledon champion and the victor in Birmingham previous year, took the first four games against Russian Daria Gavrilova on the way to a comfortable 6-2, 6-2 victory.
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Former Chelsea and England midfielder Frank Lampard agreed that Lukaku is now playing with confidence. Lukaku's first score of the game came in the 16th minute, putting Belgium up 2-0.
"I think a few of the games were very tight, especially when you need to break".
"There's still a few things I can improve - the serve, probably".
Muguruza started the match with an opening hold of some confidence, but the set took a downward turn for her very quickly as she tried to tackle the gusts of wind and tried to deal with the difference in spins and pace coming from the Strycova racquet.
"The grass helped me, for sure".
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Czech Republic's Petra Kvitova plays a shot during her tennis match against Australia's Daria Gavrilova during day four of the Nature Valley Classic at Edgbaston Priory, Birmingham, England, Thursday June 21, 2018. We're not used to play super tiebreak.