The word perplexities is playable in Words With Friends™, no blanks required. Because it is longer than 7 letters, you would have to play off an existing word or do it in several moves.
Words With Friends™ Letter Score: 26
Highest Scoring Words With Friends™ Play In The Letters perplexities
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Seven Letter Word Alert: (48 words)
eeriest, elixirs, epistle, experts, expires, extirps, lippier, peelers, peepers, pelites, pelters, peptise, perlite, perplex, petrels, pieties, pitiers, reexpel, repeels, repiles, repipes, replete, replies, reptile, respelt, respite, resplit, retiles, ripples, ripplet, seepier, sextile, siltier, sleeper, slipper, steelie, steeper, steeple, stepper, sterile, stipple, telexes, tippers, tippier, tippler, tipples, tipsier, triples