Question

the steps alana used to solve the equation ( x - 7 = 18 ) are shown.
drag a reason for each step to the table.

step	reason
( x - 7 + 7 = 18 + 7 )
( x + 0 = 18 + 7 )
( x = 18 + 7 )
( x = 25 )

additive property of equality quad addition of real numbers
additive identity property quad given quad additive inverse property

Explanation:

Step1: Identify the first step's reason

The equation \( x - 7 = 18 \) is the original equation, so the reason is "Given".

Step2: Identify the second step's reason

For \( x - 7 + 7 = 18 + 7 \), we add 7 to both sides of the equation. This is the Additive Property of Equality (if \( a = b \), then \( a + c = b + c \)).

Step3: Identify the third step's reason

For \( x + 0 = 18 + 7 \), we use the Additive Inverse Property (\( a + (-a)=0 \), here \( -7 + 7 = 0 \)).

Step4: Identify the fourth step's reason

For \( x = 18 + 7 \), we use the Additive Identity Property (\( a + 0 = a \)).

Step5: Identify the fifth step's reason

For \( x = 25 \), we perform the addition of real numbers (\( 18 + 7 = 25 \)).

Answer:

Step	Reason
\( x - 7 + 7 = 18 + 7 \)	Additive Property of Equality
\( x + 0 = 18 + 7 \)	Additive Inverse Property
\( x = 18 + 7 \)	Additive Identity Property
\( x = 25 \)	Addition of Real Numbers