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Simplifying (1 + -1x) * 0.119 = (0.1 + -1x) Reorder the terms for easier multiplication: 0.119(1 + -1x) = (0.1 + -1x) (1 * 0.119 + -1x * 0.119) = (0.1 + -1x) (0.119 + -0.119x) = (0.1 + -1x) Remove parenthesis around (0.1 + -1x) 0.119 + -0.119x = 0.1 + -1x Solving 0.119 + -0.119x = 0.1 + -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. 0.119 + -0.119x + x = 0.1 + -1x + x Combine like terms: -0.119x + x = 0.881x 0.119 + 0.881x = 0.1 + -1x + x Combine like terms: -1x + x = 0 0.119 + 0.881x = 0.1 + 0 0.119 + 0.881x = 0.1 Add '-0.119' to each side of the equation. 0.119 + -0.119 + 0.881x = 0.1 + -0.119 Combine like terms: 0.119 + -0.119 = 0.000 0.000 + 0.881x = 0.1 + -0.119 0.881x = 0.1 + -0.119 Combine like terms: 0.1 + -0.119 = -0.019 0.881x = -0.019 Divide each side by '0.881'. x = -0.02156640182 Simplifying x = -0.02156640182
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