The word destabilizes 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 destabilizes
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Seven Letter Word Alert: (54 words)
abseils, aediles, aidless, albites, alibies, astilbe, baldest, bedless, bedsits, belated, besides, betides, biassed, blasted, bleated, blessed, blissed, blitzed, blitzes, dailies, daisies, debases, debates, deities, delates, delists, desalts, desilts, details, diesels, dieties, dilates, disable, disease, distils, easiest, edibles, laziest, liaised, liaises, libated, libates, seabeds, seaside, sedates, sidelit, sizable, stabled, stables, tealess, teasels, teazels, teazles, tieless