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Answer :
We start with the equation
[tex]$$
4(3x-6)=24.
$$[/tex]
Step 1: Distribute
Apply the distributive property to eliminate the parentheses:
[tex]$$
4 \cdot 3x - 4 \cdot 6 = 12x - 24.
$$[/tex]
Now the equation becomes
[tex]$$
12x - 24 = 24.
$$[/tex]
Step 2: Add 24 to both sides
To isolate the term with [tex]$x$[/tex], add 24 to both sides:
[tex]$$
12x - 24 + 24 = 24 + 24 \quad \Longrightarrow \quad 12x = 48.
$$[/tex]
Step 3: Divide by 12
Finally, divide both sides of the equation by 12 to solve for [tex]$x$[/tex]:
[tex]$$
\frac{12x}{12} = \frac{48}{12} \quad \Longrightarrow \quad x = 4.
$$[/tex]
Now, let’s address the multiple-choice options. The solution process included:
- Using the distributive property to expand [tex]$4(3x-6)$[/tex].
- Adding 24 to both sides to cancel the [tex]$-24$[/tex] and isolate the variable term.
- Dividing both sides by 12 to solve for [tex]$x$[/tex].
Thus, the step that was not involved in this process is:
- Simplifying by combining variable terms.
The correct answer is therefore option D.
[tex]$$
4(3x-6)=24.
$$[/tex]
Step 1: Distribute
Apply the distributive property to eliminate the parentheses:
[tex]$$
4 \cdot 3x - 4 \cdot 6 = 12x - 24.
$$[/tex]
Now the equation becomes
[tex]$$
12x - 24 = 24.
$$[/tex]
Step 2: Add 24 to both sides
To isolate the term with [tex]$x$[/tex], add 24 to both sides:
[tex]$$
12x - 24 + 24 = 24 + 24 \quad \Longrightarrow \quad 12x = 48.
$$[/tex]
Step 3: Divide by 12
Finally, divide both sides of the equation by 12 to solve for [tex]$x$[/tex]:
[tex]$$
\frac{12x}{12} = \frac{48}{12} \quad \Longrightarrow \quad x = 4.
$$[/tex]
Now, let’s address the multiple-choice options. The solution process included:
- Using the distributive property to expand [tex]$4(3x-6)$[/tex].
- Adding 24 to both sides to cancel the [tex]$-24$[/tex] and isolate the variable term.
- Dividing both sides by 12 to solve for [tex]$x$[/tex].
Thus, the step that was not involved in this process is:
- Simplifying by combining variable terms.
The correct answer is therefore option D.
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