Identify the missing justifications. Step
Justification
2x - 7 = 15
Given
(a) =
2x - 7 + 7 = 15 +7
(b) =
Addition property of
equality
(a)
2x + 0 = 22
DONE
2x = 22
Additive identity
()2 = ()2
(b)
1x6 = 11
Multiplicative inverse
x = 11
Multiplicative identity

Solve for x and justify each step with a reason: 3(x - 2) + 5x = 9x - 24

Steps:

Justification (Reasons):

3(x - 2) + 5x = 9x - 24

Given

3x - 6 + 5x = 9x - 24

Distributive Property

3x + 5x - 6 = 9x - 24

Commutative Property of Addition

8x - 6 = 9x - 24

Combine Like Terms

8x - 8x - 6 = 9x - 8x - 24

Subtraction Property of Equality

0 - 6 = x - 24

Additive Inverse Property (left)

Combine Like Terms (right)

-6 = x - 24

Additive Identity Property

-6 + 24 = x - 24 + 24

Addition Property of Equality

18 = x + 0

Addition (left)

Additive Inverse Property (right)

18 = x

Additive Identity Property

The justification method shown above is an example of one method.

There are other justification methods that are deemed acceptable.

Step-by-step explanation:

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w'x is 0.

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