Let's simplify the expression \(2(x - 3) + 7\):

1. **Distribute** the 2 to both terms inside the parentheses:
   \[
   2(x - 3) = 2 \cdot x - 2 \cdot 3 = 2x - 6
   \]

2. **Add** the 7 to the result:
   \[
   2x - 6 + 7
   \]

3. **Simplify** the expression by combining like terms:
   \[
   2x + 1
   \]

So, the simplified expression is \(2x + 1\).

Would you like further details on this or have any other questions?

Here are five related questions:
1. How would you solve the equation \(2(x - 3) + 7 = 0\)?
2. What happens if you replace 7 with another constant in the expression?
3. How can you factor the expression \(2x + 1\)?
4. What is the value of the expression \(2(x - 3) + 7\) when \(x = 4\)?
5. Can you expand the expression \(a(bx - c) + d\)?

**Tip:** When simplifying expressions, always perform operations inside parentheses first, then distribute, and finally combine like terms.

Learn how to simplify the algebraic expression 2(x - 3) + 7 using the distributive property. This step-by-step solution is perfect for students in Grades 6-8, covering key concepts like distribution and combining like terms.

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