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Simplifying 0.5(4x + -5) = 0.25(8x + 9) Reorder the terms: 0.5(-5 + 4x) = 0.25(8x + 9) (-5 * 0.5 + 4x * 0.5) = 0.25(8x + 9) (-2.5 + 2x) = 0.25(8x + 9) Reorder the terms: -2.5 + 2x = 0.25(9 + 8x) -2.5 + 2x = (9 * 0.25 + 8x * 0.25) -2.5 + 2x = (2.25 + 2x) Add '-2x' to each side of the equation. -2.5 + 2x + -2x = 2.25 + 2x + -2x Combine like terms: 2x + -2x = 0 -2.5 + 0 = 2.25 + 2x + -2x -2.5 = 2.25 + 2x + -2x Combine like terms: 2x + -2x = 0 -2.5 = 2.25 + 0 -2.5 = 2.25 Solving -2.5 = 2.25 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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