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Simplifying -0.66(x + -0.66) = 0.11(x + -0.5) Reorder the terms: -0.66(-0.66 + x) = 0.11(x + -0.5) (-0.66 * -0.66 + x * -0.66) = 0.11(x + -0.5) (0.4356 + -0.66x) = 0.11(x + -0.5) Reorder the terms: 0.4356 + -0.66x = 0.11(-0.5 + x) 0.4356 + -0.66x = (-0.5 * 0.11 + x * 0.11) 0.4356 + -0.66x = (-0.055 + 0.11x) Solving 0.4356 + -0.66x = -0.055 + 0.11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.11x' to each side of the equation. 0.4356 + -0.66x + -0.11x = -0.055 + 0.11x + -0.11x Combine like terms: -0.66x + -0.11x = -0.77x 0.4356 + -0.77x = -0.055 + 0.11x + -0.11x Combine like terms: 0.11x + -0.11x = 0.00 0.4356 + -0.77x = -0.055 + 0.00 0.4356 + -0.77x = -0.055 Add '-0.4356' to each side of the equation. 0.4356 + -0.4356 + -0.77x = -0.055 + -0.4356 Combine like terms: 0.4356 + -0.4356 = 0.0000 0.0000 + -0.77x = -0.055 + -0.4356 -0.77x = -0.055 + -0.4356 Combine like terms: -0.055 + -0.4356 = -0.4906 -0.77x = -0.4906 Divide each side by '-0.77'. x = 0.6371428571 Simplifying x = 0.6371428571
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