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Simplifying 0.15 = x + (x + -0.08)(1 + -0.40) * 1 Reorder the terms: 0.15 = x + (-0.08 + x)(1 + -0.40) * 1 Combine like terms: 1 + -0.40 = 0.6 0.15 = x + (-0.08 + x)(0.6) * 1 Reorder the terms for easier multiplication: 0.15 = x + 0.6 * 1(-0.08 + x) Multiply 0.6 * 1 0.15 = x + 0.6(-0.08 + x) 0.15 = x + (-0.08 * 0.6 + x * 0.6) 0.15 = x + (-0.048 + 0.6x) Reorder the terms: 0.15 = -0.048 + x + 0.6x Combine like terms: x + 0.6x = 1.6x 0.15 = -0.048 + 1.6x Solving 0.15 = -0.048 + 1.6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.6x' to each side of the equation. 0.15 + -1.6x = -0.048 + 1.6x + -1.6x Combine like terms: 1.6x + -1.6x = 0.0 0.15 + -1.6x = -0.048 + 0.0 0.15 + -1.6x = -0.048 Add '-0.15' to each side of the equation. 0.15 + -0.15 + -1.6x = -0.048 + -0.15 Combine like terms: 0.15 + -0.15 = 0.00 0.00 + -1.6x = -0.048 + -0.15 -1.6x = -0.048 + -0.15 Combine like terms: -0.048 + -0.15 = -0.198 -1.6x = -0.198 Divide each side by '-1.6'. x = 0.12375 Simplifying x = 0.12375
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