Math Problem Statement

2(x - 3) + 7

Solution

Let's simplify the expression 2(x3)+72(x - 3) + 7:

  1. Distribute the 2 to both terms inside the parentheses: 2(x3)=2x23=2x62(x - 3) = 2 \cdot x - 2 \cdot 3 = 2x - 6

  2. Add the 7 to the result: 2x6+72x - 6 + 7

  3. Simplify the expression by combining like terms: 2x+12x + 1

So, the simplified expression is 2x+12x + 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(x3)+7=02(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+12x + 1?
  4. What is the value of the expression 2(x3)+72(x - 3) + 7 when x=4x = 4?
  5. Can you expand the expression a(bxc)+da(bx - c) + d?

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

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Math Problem Analysis

Mathematical Concepts

Algebra
Simplification
Distributive Property

Formulas

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

Theorems

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Suitable Grade Level

Grades 6-8