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Simplifying 0.1(5x + 20) + -5 = 0.2(2x + 8) Reorder the terms: 0.1(20 + 5x) + -5 = 0.2(2x + 8) (20 * 0.1 + 5x * 0.1) + -5 = 0.2(2x + 8) (2 + 0.5x) + -5 = 0.2(2x + 8) Reorder the terms: 2 + -5 + 0.5x = 0.2(2x + 8) Combine like terms: 2 + -5 = -3 -3 + 0.5x = 0.2(2x + 8) Reorder the terms: -3 + 0.5x = 0.2(8 + 2x) -3 + 0.5x = (8 * 0.2 + 2x * 0.2) -3 + 0.5x = (1.6 + 0.4x) Solving -3 + 0.5x = 1.6 + 0.4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.4x' to each side of the equation. -3 + 0.5x + -0.4x = 1.6 + 0.4x + -0.4x Combine like terms: 0.5x + -0.4x = 0.1x -3 + 0.1x = 1.6 + 0.4x + -0.4x Combine like terms: 0.4x + -0.4x = 0.0 -3 + 0.1x = 1.6 + 0.0 -3 + 0.1x = 1.6 Add '3' to each side of the equation. -3 + 3 + 0.1x = 1.6 + 3 Combine like terms: -3 + 3 = 0 0 + 0.1x = 1.6 + 3 0.1x = 1.6 + 3 Combine like terms: 1.6 + 3 = 4.6 0.1x = 4.6 Divide each side by '0.1'. x = 46 Simplifying x = 46
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