What is the reason for each step in the solution of the equation?

−6x = −2 (x + 12)

drag and drop the reasons into the boxes to correctly complete the table.

−6x = −2 (x + 12)

−6x = −2x − 24

−4x = −24

x = 6

distributive property or division property of equality or associate property or given, or addition property of equality

Given; Distributive Property;  Addition Property of Equality; Division Property of Equality

Step-by-step explanation:

The first line is the equation we are originally given; this makes the reason for the statement "Given."

To get the statement on the second line, both x and 12 have been multiplied by -2.  The property that allows us to do this is the distributive property.

To get the statement on the third line, we must cancel the -2x.  We do this by adding; the property that allows us to do this is the addition property of equality.

To get the last statement, we must divide both sides by -4.  The property that allows us to do this is the division property of equality.

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