Across
1 Shoulder bag, left by a chest, exploded (7)
5 Skegness finally got hotter, and crowded (7)
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9 Be excited about a run in vehicle (6,3)
10 Windproof jacket used by old man protecting chest (5)
11 Nerd starts to dismantle Wankel engines, each bit (5)
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12 Pests cause inns to be refurbished (9)
13 Money no object making an Astaire film? (3,4,3,5)
16 More cheesed off, alarmingly, about president defining a civil right (7,2,6)
18 Shock when peeper gets key (3-6)
20 Message he reportedly put on front of envelope (5)
22 Foremost of carveries requests large barrels (5)
23 Drops rock band, dismissing explosive type of music involved (9)
24 Wrongly praised, padre is unlikely to lose heart (7)
25 Awfully bad rule, existing for a long time (7)
Down
1 Correct copy reveals plot in case (7)
2 Story about British food (5)
3 Ridiculous, as an underdone loaf may be (4-5)
4 Fabulous creature with horns — closest men petrified (4,4,7)
5 Plain sailing? Right on! (15)
6 Greek character employed by local pharmacist (5)
7 Two doctors describing swimming race close to Lancashire resort town (9)
8 Absolutely determined, clique departed earlier (4,3)
14 Number joining groups taking time off for morning coffee (9)
15 I see what you’re saying (3-6)
16 Ripped off down end of road (7)
17 Bishopric? Yes, possibly in difficult situation (4,3)
19 Finished last of lasagna, Italian food (5)
21 Weapon taken from a disorderly crowd climbing on to top of building (1-4)