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Simplifying 0.4(1 + -5x) = -0.5(4x + 3) (1 * 0.4 + -5x * 0.4) = -0.5(4x + 3) (0.4 + -2x) = -0.5(4x + 3) Reorder the terms: 0.4 + -2x = -0.5(3 + 4x) 0.4 + -2x = (3 * -0.5 + 4x * -0.5) 0.4 + -2x = (-1.5 + -2x) Add '2x' to each side of the equation. 0.4 + -2x + 2x = -1.5 + -2x + 2x Combine like terms: -2x + 2x = 0 0.4 + 0 = -1.5 + -2x + 2x 0.4 = -1.5 + -2x + 2x Combine like terms: -2x + 2x = 0 0.4 = -1.5 + 0 0.4 = -1.5 Solving 0.4 = -1.5 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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