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

[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
C. Dividing both sides by 12 to isolate the variable
D. Adding 24 to both sides to isolate the variable term

Answer :

To solve the equation [tex]\(4(3x-6) = 24\)[/tex], we perform several steps. Let's go through them and identify which step is not part of the solution process:

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

2. Step 1: Distribute the 4
- We use the distributive property to remove the parentheses:
[tex]\[
12x - 24 = 24
\][/tex]
This corresponds to option A, using the distributive property.

3. Step 2: Add 24 to both sides
- Adding 24 to both sides helps to isolate the term with the variable:
[tex]\[
12x - 24 + 24 = 24 + 24
\][/tex]
Simplifying gives:
[tex]\[
12x = 48
\][/tex]
This corresponds to option D, adding 24 to both sides to isolate the variable term.

4. Step 3: Divide both sides by 12
- Finally, divide both sides by 12 to solve for [tex]\(x\)[/tex]:
[tex]\[
\frac{12x}{12} = \frac{48}{12}
\][/tex]
Simplifying this gives:
[tex]\[
x = 4
\][/tex]
This corresponds to option C, dividing both sides by 12 to isolate the variable.

Now, let's identify which of the listed choices was not part of the solution process:

- A. Using the distributive property: This step was used in Step 1.
- B. Simplifying by combining variable terms: This step did not occur in the solution as there were no multiple variable terms that needed combining.
- C. Dividing both sides by 12 to isolate the variable: This was done in Step 3.
- D. Adding 24 to both sides to isolate the variable term: This was done in Step 2.

Therefore, the step that is not part of the solution process is B. Simplifying by combining variable terms. There were no multiple variable terms to combine in this equation.

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