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Simplifying 0.125 = 0.025(5x + 1) Reorder the terms: 0.125 = 0.025(1 + 5x) 0.125 = (1 * 0.025 + 5x * 0.025) 0.125 = (0.025 + 0.125x) Solving 0.125 = 0.025 + 0.125x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.125x' to each side of the equation. 0.125 + -0.125x = 0.025 + 0.125x + -0.125x Combine like terms: 0.125x + -0.125x = 0.000 0.125 + -0.125x = 0.025 + 0.000 0.125 + -0.125x = 0.025 Add '-0.125' to each side of the equation. 0.125 + -0.125 + -0.125x = 0.025 + -0.125 Combine like terms: 0.125 + -0.125 = 0.000 0.000 + -0.125x = 0.025 + -0.125 -0.125x = 0.025 + -0.125 Combine like terms: 0.025 + -0.125 = -0.1 -0.125x = -0.1 Divide each side by '-0.125'. x = 0.8 Simplifying x = 0.8
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