The word symmetrized 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: 29
Highest Scoring Words With Friends™ Play In The Letters symmetrized
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Seven Letter Word Alert: (23 words)
demerit, diester, dieters, dimeter, dimmers, dimmest, immerse, merited, metrise, metrize, midterm, misdeem, mitered, reedits, reemits, resized, retimed, retimes, stemmed, stymied, tridems, trimmed, zestier