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Simplifying 0.1(5x + 20) + -5 = 0.25(2x + 8) Reorder the terms: 0.1(20 + 5x) + -5 = 0.25(2x + 8) (20 * 0.1 + 5x * 0.1) + -5 = 0.25(2x + 8) (2 + 0.5x) + -5 = 0.25(2x + 8) Reorder the terms: 2 + -5 + 0.5x = 0.25(2x + 8) Combine like terms: 2 + -5 = -3 -3 + 0.5x = 0.25(2x + 8) Reorder the terms: -3 + 0.5x = 0.25(8 + 2x) -3 + 0.5x = (8 * 0.25 + 2x * 0.25) -3 + 0.5x = (2 + 0.5x) Add '-0.5x' to each side of the equation. -3 + 0.5x + -0.5x = 2 + 0.5x + -0.5x Combine like terms: 0.5x + -0.5x = 0.0 -3 + 0.0 = 2 + 0.5x + -0.5x -3 = 2 + 0.5x + -0.5x Combine like terms: 0.5x + -0.5x = 0.0 -3 = 2 + 0.0 -3 = 2 Solving -3 = 2 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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