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The sum of two numbers is fourteen. Using x to represent the larger of the two numbers, translate "the difference between five more than the larger number and three times the smaller number" into a variable expression. Then simplify.

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  1. x = larger
    y = smaller

    x + y = 14

    y = 14 - x

    5 more than the larger 5 + 14 -x

    5 + 14-x - 3x

    Now, simplify

    19 -4x is the variable expression.

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