The word destabilise 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: 16
Highest Scoring Words With Friends™ Play In The Letters
Seven Letter Word Alert: (48 words)
abseils, aediles, aidless, albites, alibies, astilbe, baldest, bedless, bedsits, belated, besides, betides, biassed, blasted, bleated, blessed, blissed, dailies, daisies, debases, debates, deities, delates, delists, desalts, desilts, details, diesels, dieties, dilates, disable, disease, distils, easiest, edibles, liaised, liaises, libated, libates, seabeds, seaside, sedates, sidelit, stabled, stables, tealess, teasels, tieless