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Simplifying 0.38 = x + 2.5(x + -0.05)(1 + -0.4) Reorder the terms: 0.38 = x + 2.5(-0.05 + x)(1 + -0.4) Combine like terms: 1 + -0.4 = 0.6 0.38 = x + 2.5(-0.05 + x)(0.6) Reorder the terms for easier multiplication: 0.38 = x + 2.5 * 0.6(-0.05 + x) Multiply 2.5 * 0.6 0.38 = x + 1.5(-0.05 + x) 0.38 = x + (-0.05 * 1.5 + x * 1.5) 0.38 = x + (-0.075 + 1.5x) Reorder the terms: 0.38 = -0.075 + x + 1.5x Combine like terms: x + 1.5x = 2.5x 0.38 = -0.075 + 2.5x Solving 0.38 = -0.075 + 2.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2.5x' to each side of the equation. 0.38 + -2.5x = -0.075 + 2.5x + -2.5x Combine like terms: 2.5x + -2.5x = 0.0 0.38 + -2.5x = -0.075 + 0.0 0.38 + -2.5x = -0.075 Add '-0.38' to each side of the equation. 0.38 + -0.38 + -2.5x = -0.075 + -0.38 Combine like terms: 0.38 + -0.38 = 0.00 0.00 + -2.5x = -0.075 + -0.38 -2.5x = -0.075 + -0.38 Combine like terms: -0.075 + -0.38 = -0.455 -2.5x = -0.455 Divide each side by '-2.5'. x = 0.182 Simplifying x = 0.182
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