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Simplifying 0.08x + 0.13(1 + -1x) = 0.0918 0.08x + (1 * 0.13 + -1x * 0.13) = 0.0918 0.08x + (0.13 + -0.13x) = 0.0918 Reorder the terms: 0.13 + 0.08x + -0.13x = 0.0918 Combine like terms: 0.08x + -0.13x = -0.05x 0.13 + -0.05x = 0.0918 Solving 0.13 + -0.05x = 0.0918 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.13' to each side of the equation. 0.13 + -0.13 + -0.05x = 0.0918 + -0.13 Combine like terms: 0.13 + -0.13 = 0.00 0.00 + -0.05x = 0.0918 + -0.13 -0.05x = 0.0918 + -0.13 Combine like terms: 0.0918 + -0.13 = -0.0382 -0.05x = -0.0382 Divide each side by '-0.05'. x = 0.764 Simplifying x = 0.764
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