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Simplifying 30(30) + 0.15x = 0.20(30 + x) Multiply 30 * 30 900 + 0.15x = 0.20(30 + x) 900 + 0.15x = (30 * 0.20 + x * 0.20) 900 + 0.15x = (6 + 0.20x) Solving 900 + 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. 900 + 0.15x + -0.20x = 6 + 0.20x + -0.20x Combine like terms: 0.15x + -0.20x = -0.05x 900 + -0.05x = 6 + 0.20x + -0.20x Combine like terms: 0.20x + -0.20x = 0.00 900 + -0.05x = 6 + 0.00 900 + -0.05x = 6 Add '-900' to each side of the equation. 900 + -900 + -0.05x = 6 + -900 Combine like terms: 900 + -900 = 0 0 + -0.05x = 6 + -900 -0.05x = 6 + -900 Combine like terms: 6 + -900 = -894 -0.05x = -894 Divide each side by '-0.05'. x = 17880 Simplifying x = 17880
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