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Simplifying 0.25(4x + -5) = 1.5x + -0.1(5x + 3) Reorder the terms: 0.25(-5 + 4x) = 1.5x + -0.1(5x + 3) (-5 * 0.25 + 4x * 0.25) = 1.5x + -0.1(5x + 3) (-1.25 + 1x) = 1.5x + -0.1(5x + 3) Reorder the terms: -1.25 + 1x = 1.5x + -0.1(3 + 5x) -1.25 + 1x = 1.5x + (3 * -0.1 + 5x * -0.1) -1.25 + 1x = 1.5x + (-0.3 + -0.5x) Reorder the terms: -1.25 + 1x = -0.3 + 1.5x + -0.5x Combine like terms: 1.5x + -0.5x = 1x -1.25 + 1x = -0.3 + 1x Add '-1x' to each side of the equation. -1.25 + 1x + -1x = -0.3 + 1x + -1x Combine like terms: 1x + -1x = 0 -1.25 + 0 = -0.3 + 1x + -1x -1.25 = -0.3 + 1x + -1x Combine like terms: 1x + -1x = 0 -1.25 = -0.3 + 0 -1.25 = -0.3 Solving -1.25 = -0.3 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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