Solve the equation involving absolute value. (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.)
|7x − 3| = −3

The equation given is:

\[
|7x - 3| = -3
\]

The absolute value of any expression is always non-negative. This means the result of the absolute value function can never be negative.

Since \(-3\) is a negative number, there are **no possible values of \(x\)** that would satisfy this equation.

Thus, the answer is:

\[
\text{DNE} \quad (\text{Does Not Exist})
\]

Do you want further details, or do you have any questions?

Here are 5 related questions you might explore:
1. Solve \( |3x + 5| = 2 \).
2. Solve \( |x - 4| = 0 \).
3. What is the solution to \( |2x - 7| = 5 \)?
4. How do you solve equations involving absolute values greater than or equal to a number?
5. What is the general method for solving \( |ax + b| = c \)?

**Tip:** Always check the value on the right-hand side when solving absolute value equations—if it is negative, there is no solution.

Solve the equation involving absolute value. (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.) |7x − 3| = −3

Learn how to solve the absolute value equation |7x − 3| = −3. Understand why there is no solution due to the negative value on the right-hand side. This concept covers absolute value properties and is suitable for students in Grades 7-10.

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