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12 - (13 + 7) x 4 = 12 - (20) x 4
= 12 - 20 x 4
= 12 - 80
= -68
Now, we'll now consider the absolute value of the value for our given numerical expression, i.e., |12 - (13 + 7) x 4| = |-68|. Every real number has an absolute value. The absolute value of a real number is the distance of that number from zero (0) on the number line, and the absolute value is defined for the set of real numbers as follows:
|x| = x if x ≥ 0 and
|x| = -x if x < 0.
Therefore, ...
|-68| = -(-68)
= 68 is the value of |12 - (13 + 7) x 4|.
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