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Simplifying 0.40x + 0.80(400) = 0.60(400 + x) Multiply 0.80 * 400 0.40x + 320 = 0.60(400 + x) Reorder the terms: 320 + 0.40x = 0.60(400 + x) 320 + 0.40x = (400 * 0.60 + x * 0.60) 320 + 0.40x = (240 + 0.60x) Solving 320 + 0.40x = 240 + 0.60x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.60x' to each side of the equation. 320 + 0.40x + -0.60x = 240 + 0.60x + -0.60x Combine like terms: 0.40x + -0.60x = -0.2x 320 + -0.2x = 240 + 0.60x + -0.60x Combine like terms: 0.60x + -0.60x = 0.00 320 + -0.2x = 240 + 0.00 320 + -0.2x = 240 Add '-320' to each side of the equation. 320 + -320 + -0.2x = 240 + -320 Combine like terms: 320 + -320 = 0 0 + -0.2x = 240 + -320 -0.2x = 240 + -320 Combine like terms: 240 + -320 = -80 -0.2x = -80 Divide each side by '-0.2'. x = 400 Simplifying x = 400
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