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Simplify the expression:\newline6x+9x+10x−8x6x + 9x + 10x - 8x

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Simplify variable expressions involving like terms and the distributive propertyright chevron icon

Full solution

Q. Simplify the expression:\newline6x+9x+10x−8x6x + 9x + 10x - 8x
  1. Identify like terms: Identify like terms in the expression 6x+9x+10x−8x6x + 9x + 10x - 8x. All terms are like terms because they all contain the variable xx.
  2. Combine like terms: Combine the like terms by adding or subtracting the coefficients. 6x+9x+10x−8x=(6+9+10−8)x6x + 9x + 10x - 8x = (6 + 9 + 10 - 8)x
  3. Perform arithmetic operations: Perform the arithmetic operations on the coefficients.\newline(6+9+10−8)x=(15+10−8)x=(25−8)x=17x(6 + 9 + 10 - 8)x = (15 + 10 - 8)x = (25 - 8)x = 17x

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