Let's simplify the given expression:

\[
10x - (6x - 1)
\]

Step 1: Distribute the negative sign across the terms inside the parentheses:

\[
10x - 6x + 1
\]

Step 2: Combine like terms:

\[
(10x - 6x) + 1 = 4x + 1
\]

So, the simplified expression is:

\[
4x + 1
\]

Would you like more details on any part of the process or have any questions?

Here are 5 related questions:
1. How would you simplify \(15x - (5x - 2)\)?
2. What happens if you add another term, like \(3x + 7\), to the expression \(4x + 1\)?
3. How would you factor the expression \(4x + 1\)?
4. Can you solve for \(x\) if the expression \(4x + 1\) equals 0?
5. How does the expression change if the original equation was \(10x - (6x + 1)\)?

**Tip:** Always remember to distribute the sign when dealing with subtraction or negative signs before parentheses!

Learn how to simplify the algebraic expression 10x−(6x−1) using the distributive property. This step-by-step solution covers key algebra concepts and is suitable for students in Grades 6-8.

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