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Simplifying 0.30x + 0.90(200) = 0.60(200 + x) Multiply 0.90 * 200 0.30x + 180 = 0.60(200 + x) Reorder the terms: 180 + 0.30x = 0.60(200 + x) 180 + 0.30x = (200 * 0.60 + x * 0.60) 180 + 0.30x = (120 + 0.60x) Solving 180 + 0.30x = 120 + 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. 180 + 0.30x + -0.60x = 120 + 0.60x + -0.60x Combine like terms: 0.30x + -0.60x = -0.3x 180 + -0.3x = 120 + 0.60x + -0.60x Combine like terms: 0.60x + -0.60x = 0.00 180 + -0.3x = 120 + 0.00 180 + -0.3x = 120 Add '-180' to each side of the equation. 180 + -180 + -0.3x = 120 + -180 Combine like terms: 180 + -180 = 0 0 + -0.3x = 120 + -180 -0.3x = 120 + -180 Combine like terms: 120 + -180 = -60 -0.3x = -60 Divide each side by '-0.3'. x = 200 Simplifying x = 200
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