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Simplifying 0.10459 = 0.09 + [0.32(x + -0.09)] Reorder the terms: 0.10459 = 0.09 + [0.32(-0.09 + x)] 0.10459 = 0.09 + [(-0.09 * 0.32 + x * 0.32)] 0.10459 = 0.09 + [(-0.0288 + 0.32x)] 0.10459 = 0.09 + [-0.0288 + 0.32x] Remove brackets around [-0.0288 + 0.32x] 0.10459 = 0.09 + -0.0288 + 0.32x Combine like terms: 0.09 + -0.0288 = 0.0612 0.10459 = 0.0612 + 0.32x Solving 0.10459 = 0.0612 + 0.32x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.32x' to each side of the equation. 0.10459 + -0.32x = 0.0612 + 0.32x + -0.32x Combine like terms: 0.32x + -0.32x = 0.00 0.10459 + -0.32x = 0.0612 + 0.00 0.10459 + -0.32x = 0.0612 Add '-0.10459' to each side of the equation. 0.10459 + -0.10459 + -0.32x = 0.0612 + -0.10459 Combine like terms: 0.10459 + -0.10459 = 0.00000 0.00000 + -0.32x = 0.0612 + -0.10459 -0.32x = 0.0612 + -0.10459 Combine like terms: 0.0612 + -0.10459 = -0.04339 -0.32x = -0.04339 Divide each side by '-0.32'. x = 0.13559375 Simplifying x = 0.13559375
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