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Answer :
Let's go through the solution process step by step to identify which part is not included:
1. Original Equation: We start with [tex]\(4(3x - 6) = 24\)[/tex].
2. Step 1 - Using the Distributive Property: The expression [tex]\(4(3x - 6)\)[/tex] is expanded to [tex]\(12x - 24\)[/tex]. This step uses the distributive property, which means multiplying 4 by each term inside the parentheses.
3. Step 2 - Adding to Both Sides: To isolate the term with the variable [tex]\(x\)[/tex], we add 24 to both sides:
[tex]\(12x - 24 + 24 = 24 + 24\)[/tex],
which simplifies to [tex]\(12x = 48\)[/tex].
4. Step 3 - Dividing Both Sides: Now, to solve for [tex]\(x\)[/tex], we divide both sides by 12:
[tex]\(\frac{12x}{12} = \frac{48}{12}\)[/tex],
which gives [tex]\(x = 4\)[/tex].
Now, let's match these steps with the provided options:
- A. Simplifying by combining variable terms: This is not part of the solution process. There was no need to combine terms involving the variable [tex]\(x\)[/tex], since there were no like terms to combine.
- B. Dividing both sides by 12 to isolate the variable: This is done in Step 3.
- C. Adding 24 to both sides to isolate the variable term: This is done in Step 2.
- D. Using the distributive property: This is done in Step 1.
Therefore, the step that is not part of the solution process is A. Simplifying by combining variable terms.
1. Original Equation: We start with [tex]\(4(3x - 6) = 24\)[/tex].
2. Step 1 - Using the Distributive Property: The expression [tex]\(4(3x - 6)\)[/tex] is expanded to [tex]\(12x - 24\)[/tex]. This step uses the distributive property, which means multiplying 4 by each term inside the parentheses.
3. Step 2 - Adding to Both Sides: To isolate the term with the variable [tex]\(x\)[/tex], we add 24 to both sides:
[tex]\(12x - 24 + 24 = 24 + 24\)[/tex],
which simplifies to [tex]\(12x = 48\)[/tex].
4. Step 3 - Dividing Both Sides: Now, to solve for [tex]\(x\)[/tex], we divide both sides by 12:
[tex]\(\frac{12x}{12} = \frac{48}{12}\)[/tex],
which gives [tex]\(x = 4\)[/tex].
Now, let's match these steps with the provided options:
- A. Simplifying by combining variable terms: This is not part of the solution process. There was no need to combine terms involving the variable [tex]\(x\)[/tex], since there were no like terms to combine.
- B. Dividing both sides by 12 to isolate the variable: This is done in Step 3.
- C. Adding 24 to both sides to isolate the variable term: This is done in Step 2.
- D. Using the distributive property: This is done in Step 1.
Therefore, the step that is not part of the solution process is A. Simplifying by combining variable terms.
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