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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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