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Simplifying -0.60(30) + 0.50x = 0.20(30 + x) Multiply -0.60 * 30 -18 + 0.50x = 0.20(30 + x) -18 + 0.50x = (30 * 0.20 + x * 0.20) -18 + 0.50x = (6 + 0.20x) Solving -18 + 0.50x = 6 + 0.20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.20x' to each side of the equation. -18 + 0.50x + -0.20x = 6 + 0.20x + -0.20x Combine like terms: 0.50x + -0.20x = 0.3x -18 + 0.3x = 6 + 0.20x + -0.20x Combine like terms: 0.20x + -0.20x = 0.00 -18 + 0.3x = 6 + 0.00 -18 + 0.3x = 6 Add '18' to each side of the equation. -18 + 18 + 0.3x = 6 + 18 Combine like terms: -18 + 18 = 0 0 + 0.3x = 6 + 18 0.3x = 6 + 18 Combine like terms: 6 + 18 = 24 0.3x = 24 Divide each side by '0.3'. x = 80 Simplifying x = 80
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