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Simplifying 0.1(5x + 20) + -5 = 0.25(x + 8) Reorder the terms: 0.1(20 + 5x) + -5 = 0.25(x + 8) (20 * 0.1 + 5x * 0.1) + -5 = 0.25(x + 8) (2 + 0.5x) + -5 = 0.25(x + 8) Reorder the terms: 2 + -5 + 0.5x = 0.25(x + 8) Combine like terms: 2 + -5 = -3 -3 + 0.5x = 0.25(x + 8) Reorder the terms: -3 + 0.5x = 0.25(8 + x) -3 + 0.5x = (8 * 0.25 + x * 0.25) -3 + 0.5x = (2 + 0.25x) Solving -3 + 0.5x = 2 + 0.25x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.25x' to each side of the equation. -3 + 0.5x + -0.25x = 2 + 0.25x + -0.25x Combine like terms: 0.5x + -0.25x = 0.25x -3 + 0.25x = 2 + 0.25x + -0.25x Combine like terms: 0.25x + -0.25x = 0.00 -3 + 0.25x = 2 + 0.00 -3 + 0.25x = 2 Add '3' to each side of the equation. -3 + 3 + 0.25x = 2 + 3 Combine like terms: -3 + 3 = 0 0 + 0.25x = 2 + 3 0.25x = 2 + 3 Combine like terms: 2 + 3 = 5 0.25x = 5 Divide each side by '0.25'. x = 20 Simplifying x = 20
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