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24 February, 21:57

Solve, showing all work: (4x - 6) + (3x + 6)

Note: Drop the parenthesis and add like terms.

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Answers (1)
  1. 24 February, 22:29
    0
    The answer is 7x

    Step-by-step explanation:

    To solve the problem drop the brackets and add the like terms

    ∵ (4x - 6) + (3x + 6)

    - There is no number multiplied by each bracket so drop the

    brackets without any change in the values inside them

    ∴ (4x - 6) + (3x + 6) = 4x - 6 + 3x + 6

    - The terms 4x and 3x are like terms, so add them

    ∵ 4x + 3x = 7x

    - The terms - 6 and 6 are like terms, so add them

    ∵ - 6 + 6 = 0

    ∴ 4x - 6 + 3x + 6 = (4x + 3x) + (-6 + 6)

    ∵ (4x + 3x) + (-6 + 6) = 7x + 0

    ∴ 4x - 6 + 3x + 6 = 7x

    ∴ (4x - 6) + (3x + 6) = 7x

    The answer is 7x
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