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When Essex came out to chase, fast bowler Pat Cummins took three wickets to bowl them out for a paltry 134 in 32.4 overs.
It was a dominating performance by Australia against a side which also had England One Day captain Alastair Cook and Ravi Bopara.
Cook fell cheaply, dismissed for just one run while Bopara made 39.
Clarke won the toss and chose to bat. Shane Watson and David Warner gave the side a fine start, associating for 51 runs in 6.3 overs.
Warner made 26 while Watson was out for 33. George Bailey was out for 12 and Australia were in a spot of bother at 79/3 in 13.3 overs. But Clarke and Hussey put them back on track with a 137-run partnership for the fourth wicket.
Clarke hit a 73-ball 76 with nine boundaries while Hussey had a 66-ball 67 with six fours. Clarke decided to retire and give others an opportunity to bat in the middle.
Wicketkeeper Matthew Wade supplied a quick 43-ball 47 that contained four boundaries and a six. Steve Smith, who enjoyed a good IPL 5 with Pune Warriors, hit a 31-ball 30 with one boundary.
This was the only practice game for Australia before the start of the five-match ODI series against England. The first ODI will be held at Lord's on June 29.
Brief Scores: Australia 313/9 in 50 overs (Michael Clarke 76, David Hussey 67, Matthew Wade 47, Shane Watson 33, Steve Smith 30, David Warner 26, Reece Topley 4/46) beat Essex 134 all out in 32.4 overs (James Foster 41, Ravi Bopara 39, Pat Cummins 3/26).