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Simplifying -5(1 + -2x) = 5x + 5(x + -8) (1 * -5 + -2x * -5) = 5x + 5(x + -8) (-5 + 10x) = 5x + 5(x + -8) Reorder the terms: -5 + 10x = 5x + 5(-8 + x) -5 + 10x = 5x + (-8 * 5 + x * 5) -5 + 10x = 5x + (-40 + 5x) Reorder the terms: -5 + 10x = -40 + 5x + 5x Combine like terms: 5x + 5x = 10x -5 + 10x = -40 + 10x Add '-10x' to each side of the equation. -5 + 10x + -10x = -40 + 10x + -10x Combine like terms: 10x + -10x = 0 -5 + 0 = -40 + 10x + -10x -5 = -40 + 10x + -10x Combine like terms: 10x + -10x = 0 -5 = -40 + 0 -5 = -40 Solving -5 = -40 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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