Put the data set in order:
12, 14, 24, 31, 41, 46, 49
In order to find a value of x using the range, x has to be on either end of the data set. Meaning:
x, 12, 14, 24, 31, 41, 46, 49 or 12, 14, 24, 31, 41, 46, 49, x
Since the range is the highest value minus the lower value, you can set two equations for x:
x - 12 = 63
x = 75
49 - x = 63
x = -14
Thus, x = 75, -14
