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Simplifying 0.1(0.5 + x) = 1 + -1x (0.5 * 0.1 + x * 0.1) = 1 + -1x (0.05 + 0.1x) = 1 + -1x Solving 0.05 + 0.1x = 1 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 0.05 + 0.1x + x = 1 + -1x + x Combine like terms: 0.1x + x = 1.1x 0.05 + 1.1x = 1 + -1x + x Combine like terms: -1x + x = 0 0.05 + 1.1x = 1 + 0 0.05 + 1.1x = 1 Add '-0.05' to each side of the equation. 0.05 + -0.05 + 1.1x = 1 + -0.05 Combine like terms: 0.05 + -0.05 = 0.00 0.00 + 1.1x = 1 + -0.05 1.1x = 1 + -0.05 Combine like terms: 1 + -0.05 = 0.95 1.1x = 0.95 Divide each side by '1.1'. x = 0.8636363636 Simplifying x = 0.8636363636
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