What consecutive multiples of 7 have a sum of 126?

Let the consecutive multiples of 7 be 7x and 7(x+1).

7x + 7(x+1) = 126

7x + 7x + 7 = 126

14x + 7 + 126

14x = 126 - 7

14x = 119

x = 119/14

x = 8.5

For 7x to be a multiple of 7, x must be a whole number, so there are no such consecutive multiples.