To simplify $4x + 6(3x - 2)$, follow these steps:

Step 1: Distribute $6$ to both terms inside the parentheses

$6(3x - 2) = 18x - 12$

Step 2: Combine like terms

$4x + 18x - 12$

Add $4x$ and $18x$: $22x - 12$

Final Answer:

C. $22x - 12$

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Related Questions:

1. How do you distribute a number over terms in parentheses?
2. Can you explain why $4x + 18x$ becomes $22x$?
3. What are like terms, and how do you combine them?
4. How can you verify simplifications step-by-step?
5. Are there cases where this process would fail or need more care?

Tip:

Always distribute multiplication before combining like terms to avoid errors.