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Simplifying 0.124 = 0.13x + 0.08(1 + -1x) 0.124 = 0.13x + (1 * 0.08 + -1x * 0.08) 0.124 = 0.13x + (0.08 + -0.08x) Reorder the terms: 0.124 = 0.08 + 0.13x + -0.08x Combine like terms: 0.13x + -0.08x = 0.05x 0.124 = 0.08 + 0.05x Solving 0.124 = 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. 0.124 + -0.05x = 0.08 + 0.05x + -0.05x Combine like terms: 0.05x + -0.05x = 0.00 0.124 + -0.05x = 0.08 + 0.00 0.124 + -0.05x = 0.08 Add '-0.124' to each side of the equation. 0.124 + -0.124 + -0.05x = 0.08 + -0.124 Combine like terms: 0.124 + -0.124 = 0.000 0.000 + -0.05x = 0.08 + -0.124 -0.05x = 0.08 + -0.124 Combine like terms: 0.08 + -0.124 = -0.044 -0.05x = -0.044 Divide each side by '-0.05'. x = 0.88 Simplifying x = 0.88
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