Let's solve each equation step by step:
Question 1:
\( 2X - 5 = 15 \)
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Add 5 to both sides: \[ 2X = 15 + 5 \] \[ 2X = 20 \]
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Divide both sides by 2: \[ X = \frac{20}{2} = 10 \]
Response for Question 1: 10
Question 2:
\(-6x + 2 = 20\)
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Subtract 2 from both sides: \[ -6x = 20 - 2 \] \[ -6x = 18 \]
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Divide both sides by -6: \[ x = \frac{18}{-6} = -3 \]
Response for Question 2: -3
Question 3:
\(x^5 + 10 = 13\)
- Subtract 10 from both sides: \[ x^5 = 13 - 10 \] \[ x^5 = 3 \]
To find \(x\), take the fifth root of both sides: \[ x = 3^{1/5} \]
However, since the options provided are numeric integers, we find that no integer solution is possible.
Considering the responses listed, if there is an error in processing, we verify: None of the numeric responses (15, -15, 18, 10) fits for \(x^5 = 3\).
If we must choose among the options, we know \(x\) is not a simple integer solution.
But if we must select from the options given, we then need to analyze again against the numeric responses to find which is closest conceptually. However, since there seems to be no suitable context to provide an assumption, we should ideally respond with:
Response for Question 3: None (or clarification needed)
If you still need a number response, please let me know!