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Simplifying 5(3x + -8) = 8x + -6 + 7x + -10 Reorder the terms: 5(-8 + 3x) = 8x + -6 + 7x + -10 (-8 * 5 + 3x * 5) = 8x + -6 + 7x + -10 (-40 + 15x) = 8x + -6 + 7x + -10 Reorder the terms: -40 + 15x = -6 + -10 + 8x + 7x Combine like terms: -6 + -10 = -16 -40 + 15x = -16 + 8x + 7x Combine like terms: 8x + 7x = 15x -40 + 15x = -16 + 15x Add '-15x' to each side of the equation. -40 + 15x + -15x = -16 + 15x + -15x Combine like terms: 15x + -15x = 0 -40 + 0 = -16 + 15x + -15x -40 = -16 + 15x + -15x Combine like terms: 15x + -15x = 0 -40 = -16 + 0 -40 = -16 Solving -40 = -16 Couldn't find a variable to solve for. This equation is invalid, the left and right sides are not equal, therefore there is no solution.
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