Based on eaters, new words formed by adding one letter at the beginning or end:
a - aeerst b - aerates c - berates d - rebates f - cerates g - creates h - ecartes i - derates k - redates l - sedater m - afreets n - feaster o - ergates p - restage r - aethers s - heaters t - aeriest u - seriate w - retakes x - elaters