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Simplifying 0.60x + 0.20 = 400x(0.50) Reorder the terms: 0.20 + 0.60x = 400x(0.50) Reorder the terms for easier multiplication: 0.20 + 0.60x = 400 * 0.50x Multiply 400 * 0.50 0.20 + 0.60x = 200x Solving 0.20 + 0.60x = 200x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-200x' to each side of the equation. 0.20 + 0.60x + -200x = 200x + -200x Combine like terms: 0.60x + -200x = -199.4x 0.20 + -199.4x = 200x + -200x Combine like terms: 200x + -200x = 0 0.20 + -199.4x = 0 Add '-0.20' to each side of the equation. 0.20 + -0.20 + -199.4x = 0 + -0.20 Combine like terms: 0.20 + -0.20 = 0.00 0.00 + -199.4x = 0 + -0.20 -199.4x = 0 + -0.20 Combine like terms: 0 + -0.20 = -0.2 -199.4x = -0.2 Divide each side by '-199.4'. x = 0.001003009027 Simplifying x = 0.001003009027
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