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Answer :
To solve the equation [tex]\(4(3x - 6) = 24\)[/tex] and determine which option is not part of the solution process, let's break down the steps shown:
1. Original Equation:
[tex]\(4(3x - 6) = 24\)[/tex]
2. Step 1 - Using the Distributive Property:
Multiply 4 by both terms inside the parentheses:
[tex]\(12x - 24 = 24\)[/tex]
3. Step 2 - Adding 24 to Both Sides to Isolate the Variable Term:
To remove [tex]\(-24\)[/tex] from the left side, add 24 to both sides:
[tex]\(12x - 24 + 24 = 24 + 24\)[/tex]
Simplifies to:
[tex]\(12x = 48\)[/tex]
4. Step 3 - Simplified Equation:
The equation is now:
[tex]\(12x = 48\)[/tex]
5. Step 4 - Dividing Both Sides by 12 to Isolate the Variable:
Divide both sides by 12 to solve for [tex]\(x\)[/tex]:
[tex]\(\frac{12x}{12} = \frac{48}{12}\)[/tex]
Simplifies to:
[tex]\(x = 4\)[/tex]
Now, let's review each option to find which one is not part of the solution process:
A. Simplifying by combining variable terms
- This step isn't necessary here because there was only one variable term at any time.
B. Adding 24 to both sides to isolate the variable term
- This action is reflected in Step 2.
C. Dividing both sides by 12 to isolate the variable
- This action is reflected in Step 4.
D. Using the distributive property
- This action is done in Step 1.
The step that's not part of the solution process is A. Simplifying by combining variable terms, as there was no need to combine terms involving variables in this case.
1. Original Equation:
[tex]\(4(3x - 6) = 24\)[/tex]
2. Step 1 - Using the Distributive Property:
Multiply 4 by both terms inside the parentheses:
[tex]\(12x - 24 = 24\)[/tex]
3. Step 2 - Adding 24 to Both Sides to Isolate the Variable Term:
To remove [tex]\(-24\)[/tex] from the left side, add 24 to both sides:
[tex]\(12x - 24 + 24 = 24 + 24\)[/tex]
Simplifies to:
[tex]\(12x = 48\)[/tex]
4. Step 3 - Simplified Equation:
The equation is now:
[tex]\(12x = 48\)[/tex]
5. Step 4 - Dividing Both Sides by 12 to Isolate the Variable:
Divide both sides by 12 to solve for [tex]\(x\)[/tex]:
[tex]\(\frac{12x}{12} = \frac{48}{12}\)[/tex]
Simplifies to:
[tex]\(x = 4\)[/tex]
Now, let's review each option to find which one is not part of the solution process:
A. Simplifying by combining variable terms
- This step isn't necessary here because there was only one variable term at any time.
B. Adding 24 to both sides to isolate the variable term
- This action is reflected in Step 2.
C. Dividing both sides by 12 to isolate the variable
- This action is reflected in Step 4.
D. Using the distributive property
- This action is done in Step 1.
The step that's not part of the solution process is A. Simplifying by combining variable terms, as there was no need to combine terms involving variables in this case.
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