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Simplifying 5(2x + 8) = 10(x + -4) Reorder the terms: 5(8 + 2x) = 10(x + -4) (8 * 5 + 2x * 5) = 10(x + -4) (40 + 10x) = 10(x + -4) Reorder the terms: 40 + 10x = 10(-4 + x) 40 + 10x = (-4 * 10 + x * 10) 40 + 10x = (-40 + 10x) Add '-10x' to each side of the equation. 40 + 10x + -10x = -40 + 10x + -10x Combine like terms: 10x + -10x = 0 40 + 0 = -40 + 10x + -10x 40 = -40 + 10x + -10x Combine like terms: 10x + -10x = 0 40 = -40 + 0 40 = -40 Solving 40 = -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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