Let’s analyze each step of the process to identify any errors.
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Step 1: \(2x + b - b = c - b\)
- This step is correct because subtracting \(b\) from both sides is a valid operation.
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Step 2: \(2x = c - b\)
- This step is correct as well. After removing \(b\) from both sides, you correctly simplified the equation.
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Step 3: \(2x - 2 = c - b - 2\)
- This step is incorrect. Instead of subtracting \(2\) from both sides, the equation should remain \(2x = c - b\). There was no mention of the number \(2\) in the original equation that would necessitate subtracting \(2\).
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Step 4: \(x = \frac{c}{2} - b - 2\)
- Because Step 3 is incorrect, Step 4 is also incorrect. From the correctly simplified Step 2 (\(2x = c - b\)), the proper next step should be dividing both sides by 2 to get \(x = \frac{c - b}{2}\).
Based on this analysis, we can conclude:
- There is an error from step 2 to step 3.
- The later steps are also incorrect due to the mistake in step 3.
The true statements from the response options would be:
- The process has an error from step 2 to step 3.
- The process has an error from step 3 to step 4.
The false statements include:
- There is no error in the process.
- The process has an error from step 1 to step 2.
So, you should select the statements indicating errors between step 2 and step 3, and between step 3 and step 4.