To solve the given expression:

\[
3(x + 5) - (3x - 1) (1)
\]

Step 1: Distribute the constants in both terms.

\[
3(x + 5) = 3x + 15
\]
\[
(3x - 1)(1) = 3x - 1
\]

Step 2: Substitute the results back into the original expression:

\[
3x + 15 - (3x - 1)
\]

Step 3: Simplify by distributing the negative sign:

\[
3x + 15 - 3x + 1
\]

Step 4: Combine like terms:

\[
(3x - 3x) + (15 + 1) = 0 + 16 = 16
\]

Thus, the simplified expression is:

\[
\boxed{16}
\]

Would you like more details on any step or have any questions?

Here are 5 related questions for further practice:

1. Simplify \( 4(x - 3) - 2(2x + 5) \).
2. Solve \( 5(x + 6) - 3(x - 2) \).
3. Simplify \( 2(3x - 4) - 5(x + 2) \).
4. Solve \( 6(x + 2) - (3x + 1) \).
5. Simplify \( 7(x - 5) - (4x + 3) \).

**Tip:** Always distribute the negative sign carefully when simplifying expressions to avoid mistakes!

This page provides a step-by-step guide to simplifying the algebraic expression 3(x + 5) - (3x - 1). Learn how to apply the distributive property, handle negative signs, and combine like terms. Suitable for students in Grades 6-8, this exercise helps reinforce key algebraic concepts.

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