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(3x-1)-2.75(x+2) Simplified

less than a minute read Jun 16, 2024
(3x-1)-2.75(x+2) Simplified

Simplifying the Expression (3x - 1) - 2.75(x + 2)

This article will guide you through the steps of simplifying the expression (3x - 1) - 2.75(x + 2).

Understanding the Order of Operations

Before we begin simplifying, let's recall the order of operations, often remembered by the acronym PEMDAS or BODMAS:

  • Parentheses (or Brackets)
  • Exponents (or Orders)
  • Multiplication and Division (from left to right)
  • Addition and Subtraction (from left to right)

Simplifying the Expression

  1. Distribute: We start by distributing the -2.75 to the terms inside the parentheses: (3x - 1) - 2.75(x + 2) = 3x - 1 - 2.75x - 5.5

  2. Combine Like Terms: Now, we combine the 'x' terms and the constant terms: 3x - 2.75x - 1 - 5.5 = 0.25x - 6.5

Final Result

Therefore, the simplified form of the expression (3x - 1) - 2.75(x + 2) is 0.25x - 6.5.

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