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Simplifying 0.3(30) + 0.15x = 0.2(30 + x) * 100 Multiply 0.3 * 30 9 + 0.15x = 0.2(30 + x) * 100 Reorder the terms for easier multiplication: 9 + 0.15x = 0.2 * 100(30 + x) Multiply 0.2 * 100 9 + 0.15x = 20(30 + x) 9 + 0.15x = (30 * 20 + x * 20) 9 + 0.15x = (600 + 20x) Solving 9 + 0.15x = 600 + 20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20x' to each side of the equation. 9 + 0.15x + -20x = 600 + 20x + -20x Combine like terms: 0.15x + -20x = -19.85x 9 + -19.85x = 600 + 20x + -20x Combine like terms: 20x + -20x = 0 9 + -19.85x = 600 + 0 9 + -19.85x = 600 Add '-9' to each side of the equation. 9 + -9 + -19.85x = 600 + -9 Combine like terms: 9 + -9 = 0 0 + -19.85x = 600 + -9 -19.85x = 600 + -9 Combine like terms: 600 + -9 = 591 -19.85x = 591 Divide each side by '-19.85'. x = -29.77329975 Simplifying x = -29.77329975
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