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Answer :
To solve the given equation step-by-step, let's start from where Karissa left off:
The simplified equation is [tex]\(\frac{1}{2}x = -\frac{1}{2}x\)[/tex].
1. Collect the [tex]\(x\)[/tex] terms on one side:
- Add [tex]\(\frac{1}{2}x\)[/tex] to both sides of the equation:
[tex]\[
\frac{1}{2}x + \frac{1}{2}x = 0
\][/tex]
2. Simplify the equation:
- Combine the [tex]\(x\)[/tex] terms:
[tex]\[
x = 0
\][/tex]
The value of [tex]\(x\)[/tex] that satisfies the equation is [tex]\(0\)[/tex]. Therefore, the correct answer is [tex]\(0\)[/tex].
The simplified equation is [tex]\(\frac{1}{2}x = -\frac{1}{2}x\)[/tex].
1. Collect the [tex]\(x\)[/tex] terms on one side:
- Add [tex]\(\frac{1}{2}x\)[/tex] to both sides of the equation:
[tex]\[
\frac{1}{2}x + \frac{1}{2}x = 0
\][/tex]
2. Simplify the equation:
- Combine the [tex]\(x\)[/tex] terms:
[tex]\[
x = 0
\][/tex]
The value of [tex]\(x\)[/tex] that satisfies the equation is [tex]\(0\)[/tex]. Therefore, the correct answer is [tex]\(0\)[/tex].
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