To simplify the expression \(3x + (-2)z + (-4)x + (-2)z\), let's combine like terms.

### Step 1: Combine the terms involving \(x\)
\[
3x + (-4)x = -x
\]

### Step 2: Combine the terms involving \(z\)
\[
(-2)z + (-2)z = -4z
\]

### Final simplified expression:
\[
-x - 4z
\]

Would you like further details on any of the steps? Here are some related questions you can explore:

1. How do you simplify expressions with multiple variables?
2. What is the distributive property in algebra, and how does it apply to similar problems?
3. How do you factor out common terms in expressions like this?
4. What are like terms, and why can we combine them?
5. How do operations with negative numbers affect algebraic expressions?

**Tip:** Always group similar variables together before simplifying expressions to avoid mistakes.

Learn how to simplify the algebraic expression 3x + (-2)z + (-4)x + (-2)z by combining like terms. This problem is suitable for students in Grades 6-8 and covers fundamental algebraic concepts such as the properties of addition and combining like terms.

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