Put into bat, Bangladesh suffered from a lack of partnerships but Tamim, with his fourth T20 half-century, almost single-handedly lifted the score to 153 for seven.
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It was a disappointing show of batting from a side which sparkled in the recently concluded Asia Cup, where the hosts ended runners-up after a keenly contested final against India.
Tamin though remained unaffected with the wicket-fall as the left-hander smacked six boundaries and three sixes during his 58-ball stay.
Netherlands medium-pacer Timm van der Gugten led the charge with three wickets as Paul van Meekeren and left-arm spinner Roelof van der Merve got three scalps between them.
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The Dutch batsmen also put up a brave show to give Bangladesh a run for their money but ultimately experience prevailed and the minnows were restricted to 145 for seven in their 20 overs.
Opener Stephen Myburgh provided a solid start to the Orange brigade and skipper Peter Borren took it forward but left-arm spinner Shakib Al Hasan's twin strike put a lid on Dutch hopes.
In the end, lower-order batsman Mudassar Bukhari provided a scare with his five-ball 14 but his runout spelt the end for Netherlands, who are making their third appearance in the tournament.
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Mashrafe Morataza-led Bangladesh are favourites to top their group and move into the Super 10 stage of the 16-team event.
Ireland will take on Oman in the second Group A fixture of the day.
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