Math Problem Statement

Add.

left parenthesis, 4, x, plus, 6, right parenthesis, plus, left parenthesis, 4, x, plus, 3, right parenthesis

(4x+6)+(4x+3)

Solution

To simplify the given expression:

(4x+6)+(4x+3)(4x + 6) + (4x + 3)

Step 1: Combine like terms

  • Combine the 4x4x terms: 4x+4x=8x4x + 4x = 8x

  • Combine the constants: 6+3=96 + 3 = 9

Final Simplified Expression:

8x+98x + 9

Would you like a detailed explanation or additional questions to explore? Here are 5 related queries:

  1. How can this type of expression be graphed on a coordinate plane?
  2. What happens to the equation if x=2x = 2?
  3. How do you factorize 8x+98x + 9?
  4. Can this expression represent a linear equation? Why?
  5. How do we solve for xx if this equals another expression, e.g., 8x+9=178x + 9 = 17?

Tip: Always organize terms by combining like terms first to simplify equations systematically.

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Math Problem Analysis

Mathematical Concepts

Algebra
Simplification of Expressions

Formulas

Combining like terms (ax + bx = (a + b)x)
Addition of constants

Theorems

Associative Property of Addition
Distributive Property (implicit)

Suitable Grade Level

Grades 6-8