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The question asks:

Given the expression \( |2x - 3| \), which represents the distance between some number and \(-3\), identify that number.

### Solution:
The absolute value \( |2x - 3| \) denotes the distance between \( 2x - 3 \) and **0**. To rephrase the question:

The distance between what number and \(-3\) is represented by the expression \( |2x - 3| \)?

Since the absolute value measures the distance between two values, we are comparing the expression \( 2x - 3 \) and \(-3 \). Therefore, we can rewrite the equation as:

\[
|2x - 3| = |(2x - 3) - (-3)| = |2x - 3 + 3| = |2x|
\]

Thus, the distance is between **\(2x\)** and **\(-3\)**.

The number in question is \( 2x \), as that is the value being compared to \(-3\) in terms of distance.

Would you like more details or have any questions?

### Follow-up questions:
1. What is the general interpretation of absolute value in mathematics?
2. How can we solve for \(x\) if given a specific value for the distance?
3. What other mathematical operations involve calculating distances between two numbers?
4. How does this approach change if the question involved a different constant instead of \(-3\)?
5. What is the relationship between absolute values and inequalities?

### Tip:
Always remember that absolute values represent the distance from zero, and they are always non-negative, regardless of the input value.

|2x - 3| is the distance between what number and -3?

Learn how the absolute value expression |2x - 3| represents the distance between the expression 2x and the number -3. This problem covers algebraic concepts related to distance and absolute value, suitable for Grades 7-10.

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