Math Problem Statement

Simplify the following expression: -5 - 3(9x - 11)

Solution

The given expression is:

53(9x11)-5 - 3(9x - 11)

To simplify this expression, follow these steps:

Step 1: Distribute the 3-3 across the terms inside the parentheses.

3(9x11)=3×9x+(3×11)=27x+33-3(9x - 11) = -3 \times 9x + (-3 \times -11) = -27x + 33

Step 2: Combine the result with the initial 5-5.

527x+33-5 - 27x + 33

Step 3: Combine the constant terms 5-5 and 3333.

5+33=28-5 + 33 = 28

Thus, the expression simplifies to: 27x+28-27x + 28

So, the answer is: 27x+28-27x + 28

Do you need any further clarification or additional details?

Here are 5 related questions for practice:

  1. Simplify: 74(2x3)7 - 4(2x - 3)
  2. Expand and simplify: 3(5x+7)2(4x6)3(5x + 7) - 2(4x - 6)
  3. Simplify: 123(4x+5)12 - 3(4x + 5)
  4. Factor the expression: 9x+36-9x + 36
  5. Solve for xx in the equation: 2x+5=172x + 5 = 17

Tip: When distributing a negative number, ensure that it affects both terms inside the parentheses, including their signs.

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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