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Simplifying x(0.2) + 40(0.5) = (40 + x)(0.4) Reorder the terms for easier multiplication: 0.2x + 40(0.5) = (40 + x)(0.4) Multiply 40 * 0.5 0.2x + 20 = (40 + x)(0.4) Reorder the terms: 20 + 0.2x = (40 + x)(0.4) Reorder the terms for easier multiplication: 20 + 0.2x = 0.4(40 + x) 20 + 0.2x = (40 * 0.4 + x * 0.4) 20 + 0.2x = (16 + 0.4x) Solving 20 + 0.2x = 16 + 0.4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.4x' to each side of the equation. 20 + 0.2x + -0.4x = 16 + 0.4x + -0.4x Combine like terms: 0.2x + -0.4x = -0.2x 20 + -0.2x = 16 + 0.4x + -0.4x Combine like terms: 0.4x + -0.4x = 0.0 20 + -0.2x = 16 + 0.0 20 + -0.2x = 16 Add '-20' to each side of the equation. 20 + -20 + -0.2x = 16 + -20 Combine like terms: 20 + -20 = 0 0 + -0.2x = 16 + -20 -0.2x = 16 + -20 Combine like terms: 16 + -20 = -4 -0.2x = -4 Divide each side by '-0.2'. x = 20 Simplifying x = 20
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