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Simplifying 0.30(30) + 0.15x = 0.20(30 + x) Multiply 0.30 * 30 9 + 0.15x = 0.20(30 + x) 9 + 0.15x = (30 * 0.20 + x * 0.20) 9 + 0.15x = (6 + 0.20x) Solving 9 + 0.15x = 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. 9 + 0.15x + -0.20x = 6 + 0.20x + -0.20x Combine like terms: 0.15x + -0.20x = -0.05x 9 + -0.05x = 6 + 0.20x + -0.20x Combine like terms: 0.20x + -0.20x = 0.00 9 + -0.05x = 6 + 0.00 9 + -0.05x = 6 Add '-9' to each side of the equation. 9 + -9 + -0.05x = 6 + -9 Combine like terms: 9 + -9 = 0 0 + -0.05x = 6 + -9 -0.05x = 6 + -9 Combine like terms: 6 + -9 = -3 -0.05x = -3 Divide each side by '-0.05'. x = 60 Simplifying x = 60
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