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Simplifying 0.05(1 + -1x) = 0.10x (1 * 0.05 + -1x * 0.05) = 0.10x (0.05 + -0.05x) = 0.10x Solving 0.05 + -0.05x = 0.10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.10x' to each side of the equation. 0.05 + -0.05x + -0.10x = 0.10x + -0.10x Combine like terms: -0.05x + -0.10x = -0.15x 0.05 + -0.15x = 0.10x + -0.10x Combine like terms: 0.10x + -0.10x = 0.00 0.05 + -0.15x = 0.00 Add '-0.05' to each side of the equation. 0.05 + -0.05 + -0.15x = 0.00 + -0.05 Combine like terms: 0.05 + -0.05 = 0.00 0.00 + -0.15x = 0.00 + -0.05 -0.15x = 0.00 + -0.05 Combine like terms: 0.00 + -0.05 = -0.05 -0.15x = -0.05 Divide each side by '-0.15'. x = 0.3333333333 Simplifying x = 0.3333333333
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