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Simplifying 0 = 0.13x + 0.08(1 + -1x) 0 = 0.13x + (1 * 0.08 + -1x * 0.08) 0 = 0.13x + (0.08 + -0.08x) Reorder the terms: 0 = 0.08 + 0.13x + -0.08x Combine like terms: 0.13x + -0.08x = 0.05x 0 = 0.08 + 0.05x Solving 0 = 0.08 + 0.05x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.05x' to each side of the equation. 0 + -0.05x = 0.08 + 0.05x + -0.05x Remove the zero: -0.05x = 0.08 + 0.05x + -0.05x Combine like terms: 0.05x + -0.05x = 0.00 -0.05x = 0.08 + 0.00 -0.05x = 0.08 Divide each side by '-0.05'. x = -1.6 Simplifying x = -1.6
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