College

Steps for solving [tex]4(3x - 6) = 24[/tex] are shown:

[tex]
\begin{aligned}
4(3x - 6) & = 24 & & \text{Original Equation} \\
12x - 24 & = 24 & & \text{Step 1} \\
12x - 24 + 24 & = 24 + 24 & & \text{Step 2} \\
12x & = 48 & & \text{Step 3} \\
\frac{12x}{12} & = \frac{48}{12} & & \text{Step 4} \\
x & = 4 & & \text{Step 5}
\end{aligned}
[/tex]

Which of these is not part of the solution process?

A. Using the distributive property
B. Simplifying by combining variable terms

Answer :

Sure! Let's go through the solution process for the equation [tex]\(4(3x - 6) = 24\)[/tex] step by step.

### Steps:
1. Original Equation:
[tex]\[
4(3x - 6) = 24
\][/tex]

2. Using the Distributive Property:
Apply the distributive property to remove the parentheses by multiplying 4 with both terms inside the parentheses:
[tex]\[
12x - 24 = 24
\][/tex]

3. Isolating the Variable Term:
Add 24 to both sides to cancel out [tex]\(-24\)[/tex] on the left:
[tex]\[
12x - 24 + 24 = 24 + 24
\][/tex]
Simplify to:
[tex]\[
12x = 48
\][/tex]

4. Solving for x:
Divide both sides by 12 to solve for [tex]\(x\)[/tex]:
[tex]\[
\frac{12x}{12} = \frac{48}{12}
\][/tex]
Simplify to:
[tex]\[
x = 4
\][/tex]

### Question: Which step is not part of the solution process?
- A. Using the distributive property is part of the solution process, as seen in Step 1.
- B. Simplifying by combining variable terms is not part of the solution process.

In the given steps, there is no mention of simplifying by combining variable terms, only the use of the distributive property is indicated. Therefore, the answer is:

B. Simplifying by combining variable terms is not part of the solution process.