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Simplifying 0.6x + 0.2(100) = 0.5(x + 100) Multiply 0.2 * 100 0.6x + 20 = 0.5(x + 100) Reorder the terms: 20 + 0.6x = 0.5(x + 100) Reorder the terms: 20 + 0.6x = 0.5(100 + x) 20 + 0.6x = (100 * 0.5 + x * 0.5) 20 + 0.6x = (50 + 0.5x) Solving 20 + 0.6x = 50 + 0.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.5x' to each side of the equation. 20 + 0.6x + -0.5x = 50 + 0.5x + -0.5x Combine like terms: 0.6x + -0.5x = 0.1x 20 + 0.1x = 50 + 0.5x + -0.5x Combine like terms: 0.5x + -0.5x = 0.0 20 + 0.1x = 50 + 0.0 20 + 0.1x = 50 Add '-20' to each side of the equation. 20 + -20 + 0.1x = 50 + -20 Combine like terms: 20 + -20 = 0 0 + 0.1x = 50 + -20 0.1x = 50 + -20 Combine like terms: 50 + -20 = 30 0.1x = 30 Divide each side by '0.1'. x = 300 Simplifying x = 300
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