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Simplifying 0.125(5x + 64) = 0.25(20 + 2x) Reorder the terms: 0.125(64 + 5x) = 0.25(20 + 2x) (64 * 0.125 + 5x * 0.125) = 0.25(20 + 2x) (8 + 0.625x) = 0.25(20 + 2x) 8 + 0.625x = (20 * 0.25 + 2x * 0.25) 8 + 0.625x = (5 + 0.5x) Solving 8 + 0.625x = 5 + 0.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.5x' to each side of the equation. 8 + 0.625x + -0.5x = 5 + 0.5x + -0.5x Combine like terms: 0.625x + -0.5x = 0.125x 8 + 0.125x = 5 + 0.5x + -0.5x Combine like terms: 0.5x + -0.5x = 0.0 8 + 0.125x = 5 + 0.0 8 + 0.125x = 5 Add '-8' to each side of the equation. 8 + -8 + 0.125x = 5 + -8 Combine like terms: 8 + -8 = 0 0 + 0.125x = 5 + -8 0.125x = 5 + -8 Combine like terms: 5 + -8 = -3 0.125x = -3 Divide each side by '0.125'. x = -24 Simplifying x = -24
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