Let's simplify the given expression step by step:

Given expression:
\[
3x - (x - 1) - 2x + 1
\]

1. First, distribute the negative sign across the terms inside the parentheses:
\[
3x - x + 1 - 2x + 1
\]

2. Now, combine like terms (the terms with \(x\) and the constants):
\[
(3x - x - 2x) + (1 + 1)
\]
\[
0x + 2 = 2
\]

So, the simplified expression is:
\[
2
\]

Would you like further details or have any questions?

Here are 5 related questions for further practice:
1. Simplify \(4x - (2x + 3) + 5 - x\).
2. Solve for \(x\) in the equation \(2x - (x + 4) = 5\).
3. Simplify \(5(x - 2) - 3(2x + 1)\).
4. Factor the expression \(x^2 - 5x + 6\).
5. Simplify \((3x - 2) - (x + 1) + 4\).

**Tip:** Always distribute negative signs carefully when simplifying expressions to avoid mistakes.

Learn how to simplify the algebraic expression 3x - (x - 1) - 2x + 1 with a detailed step-by-step solution. This problem involves concepts like the distributive property and combining like terms, suitable for students in Grades 6-8.

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