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Simplifying (0.02 + -1x)(2.5) = 0.0125 + x Reorder the terms for easier multiplication: 2.5(0.02 + -1x) = 0.0125 + x (0.02 * 2.5 + -1x * 2.5) = 0.0125 + x (0.05 + -2.5x) = 0.0125 + x Solving 0.05 + -2.5x = 0.0125 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 0.05 + -2.5x + -1x = 0.0125 + x + -1x Combine like terms: -2.5x + -1x = -3.5x 0.05 + -3.5x = 0.0125 + x + -1x Combine like terms: x + -1x = 0 0.05 + -3.5x = 0.0125 + 0 0.05 + -3.5x = 0.0125 Add '-0.05' to each side of the equation. 0.05 + -0.05 + -3.5x = 0.0125 + -0.05 Combine like terms: 0.05 + -0.05 = 0.00 0.00 + -3.5x = 0.0125 + -0.05 -3.5x = 0.0125 + -0.05 Combine like terms: 0.0125 + -0.05 = -0.0375 -3.5x = -0.0375 Divide each side by '-3.5'. x = 0.01071428571 Simplifying x = 0.01071428571
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