The given expression is:

\[
4x - 2x - 20x + x
\]

Now, let's simplify by combining like terms:

\[
(4x - 2x - 20x + x) = (4 - 2 - 20 + 1)x
\]

Perform the arithmetic inside the parentheses:

\[
(4 - 2 - 20 + 1) = -17
\]

Thus, the simplified expression is:

\[
-17x
\]

Would you like further details or have any other questions?

Here are 5 related questions for practice:
1. Simplify: \( 6x - 3x + 8x - 2x \)
2. Solve for \( x \): \( 5x + 7 = 2x - 4 \)
3. Factor: \( 3x^2 - 6x \)
4. Expand: \( 2(x + 4) - 3(x - 1) \)
5. Simplify: \( 10x - 15x + 20x - 25x \)

**Tip:** When simplifying expressions, always group like terms (in this case, terms with \(x\)) to streamline your solution.

Learn how to simplify the algebraic expression 4x - 2x - 20x + x. This step-by-step guide explains how to combine like terms, a key concept in algebra. Suitable for students in Grades 6-8.

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