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Simplifying 0.20x + 0.60(100) = 0.30(x + 100) Multiply 0.60 * 100 0.20x + 60 = 0.30(x + 100) Reorder the terms: 60 + 0.20x = 0.30(x + 100) Reorder the terms: 60 + 0.20x = 0.30(100 + x) 60 + 0.20x = (100 * 0.30 + x * 0.30) 60 + 0.20x = (30 + 0.30x) Solving 60 + 0.20x = 30 + 0.30x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.30x' to each side of the equation. 60 + 0.20x + -0.30x = 30 + 0.30x + -0.30x Combine like terms: 0.20x + -0.30x = -0.1x 60 + -0.1x = 30 + 0.30x + -0.30x Combine like terms: 0.30x + -0.30x = 0.00 60 + -0.1x = 30 + 0.00 60 + -0.1x = 30 Add '-60' to each side of the equation. 60 + -60 + -0.1x = 30 + -60 Combine like terms: 60 + -60 = 0 0 + -0.1x = 30 + -60 -0.1x = 30 + -60 Combine like terms: 30 + -60 = -30 -0.1x = -30 Divide each side by '-0.1'. x = 300 Simplifying x = 300
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