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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.
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