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Simplifying -0.05(60) + 0.5x = 0.2(60 + x) Multiply -0.05 * 60 -3 + 0.5x = 0.2(60 + x) -3 + 0.5x = (60 * 0.2 + x * 0.2) -3 + 0.5x = (12 + 0.2x) Solving -3 + 0.5x = 12 + 0.2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.2x' to each side of the equation. -3 + 0.5x + -0.2x = 12 + 0.2x + -0.2x Combine like terms: 0.5x + -0.2x = 0.3x -3 + 0.3x = 12 + 0.2x + -0.2x Combine like terms: 0.2x + -0.2x = 0.0 -3 + 0.3x = 12 + 0.0 -3 + 0.3x = 12 Add '3' to each side of the equation. -3 + 3 + 0.3x = 12 + 3 Combine like terms: -3 + 3 = 0 0 + 0.3x = 12 + 3 0.3x = 12 + 3 Combine like terms: 12 + 3 = 15 0.3x = 15 Divide each side by '0.3'. x = 50 Simplifying x = 50
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