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Simplifying 5(x + -8) = 3x + 2(x + -4) Reorder the terms: 5(-8 + x) = 3x + 2(x + -4) (-8 * 5 + x * 5) = 3x + 2(x + -4) (-40 + 5x) = 3x + 2(x + -4) Reorder the terms: -40 + 5x = 3x + 2(-4 + x) -40 + 5x = 3x + (-4 * 2 + x * 2) -40 + 5x = 3x + (-8 + 2x) Reorder the terms: -40 + 5x = -8 + 3x + 2x Combine like terms: 3x + 2x = 5x -40 + 5x = -8 + 5x Add '-5x' to each side of the equation. -40 + 5x + -5x = -8 + 5x + -5x Combine like terms: 5x + -5x = 0 -40 + 0 = -8 + 5x + -5x -40 = -8 + 5x + -5x Combine like terms: 5x + -5x = 0 -40 = -8 + 0 -40 = -8 Solving -40 = -8 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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