Let's solve the equation step by step:

Given:
\[
10(x + 3) + 3 + 4(x + 7) = ?
\]

### Step 1: Expand the terms inside the parentheses.

- \(10(x + 3) = 10x + 30\)
- \(4(x + 7) = 4x + 28\)

Substitute these into the equation:
\[
10x + 30 + 3 + 4x + 28
\]

### Step 2: Combine like terms.

- Combine the \(x\)-terms: \(10x + 4x = 14x\)
- Combine the constant terms: \(30 + 3 + 28 = 61\)

So the simplified equation becomes:
\[
14x + 61
\]

Thus, the expression simplifies to:
\[
14x + 61
\]

Would you like more details or have any other questions about this solution?

Here are 5 related questions for further practice:
1. Simplify \( 5(2x + 4) + 3(x + 6) \).
2. Solve the equation \( 2(x + 5) + 4(x - 3) = 0 \).
3. Factor the expression \( 14x + 61 \).
4. Simplify \( 3(2x + 1) + 4(x + 7) \).
5. Solve for \(x\) in \( 14x + 61 = 0 \).

**Tip:** Always expand and combine like terms first when simplifying algebraic expressions.

Learn how to simplify the algebraic expression 10(x + 3) + 3 + 4(x + 7) with a step-by-step explanation. This problem focuses on expanding terms and combining like terms, making it ideal for students in Grades 6-8.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation