Math Problem Statement

Simplify the expression 6(3x + 4) - 10x + 9.

Solution

To simplify the expression 6(3x+4)10x+96(3x+4) -10x + 9, follow these steps:

  1. Distribute the 6: 6×3x+6×4=18x+246 \times 3x + 6 \times 4 = 18x + 24

  2. Substitute back into the expression: 18x+2410x+918x + 24 - 10x + 9

  3. Combine like terms: (18x10x)+(24+9)=8x+33(18x - 10x) + (24 + 9) = 8x + 33

So the simplified expression is 8x+338x + 33.

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Math Problem Analysis

Mathematical Concepts

Algebra
Distributive Property
Combining Like Terms

Formulas

Distributive Property: a(b + c) = ab + ac
Combining Like Terms

Theorems

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Suitable Grade Level

Grades 6-8