To simplify the expression \(7(x + 3) - 3(2x + 3) - 21\), follow these steps:

1. **Distribute** the numbers outside the parentheses:
   \[
   7(x + 3) = 7x + 21
   \]
   \[
   -3(2x + 3) = -6x - 9
   \]

   So, the expression becomes:
   \[
   7x + 21 - 6x - 9 - 21
   \]

2. **Combine like terms**:
   - Combine the \(x\) terms: \(7x - 6x = x\)
   - Combine the constant terms: \(21 - 9 - 21 = -9\)

   Therefore, the simplified expression is:
   \[
   x - 9
   \]

So, the simplified form of the expression is \( \mathbf{x - 9} \).

Would you like any further details or explanations? Here are some additional questions that might interest you:

1. How do you distribute numbers in expressions with multiple terms?
2. What are like terms, and how do you identify them?
3. Can you simplify an expression involving variables with exponents?
4. How would you simplify an expression with fractions?
5. What is the difference between simplifying and solving an equation?

**Tip:** Always perform distribution and combining like terms carefully to avoid mistakes in simplification.

Learn how to simplify the expression 7(x + 3) - 3(2x + 3) - 21 with a detailed step-by-step guide. This problem involves algebraic concepts such as the distributive property and combining like terms, suitable for students in Grades 7-9.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation