Let's solve the given problem step by step. The expression is:

$3x + 6(x - 2)$

and we are asked to evaluate it when $x = 4$.

Step 1: Substitute $x = 4$ into the expression.

$3(4) + 6(4 - 2)$

Step 2: Simplify the parentheses.

$3(4) + 6(2)$

Step 3: Multiply the terms.

$12 + 12$

Step 4: Add the results.

$12 + 12 = 24$

Final Answer:

The value of the expression when $x = 4$ is 24.

Would you like more details or further clarification?
Here are 5 related questions to expand your understanding:

1. How would the result change if $x = -4$ instead of $x = 4$?
2. Can this expression be simplified before substituting the value of $x$?
3. How do distributive and associative properties help in simplifying such expressions?
4. What if the expression were $3x - 6(x - 2)$ instead?
5. How would solving this problem differ if we needed the value for multiple values of $x$ (e.g., $x = 1, 2, 3$)?

Tip:

Always simplify algebraic expressions as much as possible before substituting the given values—it reduces potential calculation errors!