There is no property that justifies it. The equation is true for some values of x, not for others.
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6(2 + 1) = 18==========
The property that "equality" is a reflexive relation on the set of arithmetic statements. It is a property of a relation such that it is true for members of the set over which the relation is defined.The "less than" operator, for example, is not reflexive since "x < x" is not true.
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Oh, dude, that's like basic math 101. So, when you multiply any number by 1, you get the same number back. It's like magic, but not really. So, 17 times 1 equals 17 because, well, math.
1 x 17 = 17