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Simplifying 0.30(15) + 0.05x = 0.20(15 + x) Multiply 0.30 * 15 4.5 + 0.05x = 0.20(15 + x) 4.5 + 0.05x = (15 * 0.20 + x * 0.20) 4.5 + 0.05x = (3 + 0.20x) Solving 4.5 + 0.05x = 3 + 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. 4.5 + 0.05x + -0.20x = 3 + 0.20x + -0.20x Combine like terms: 0.05x + -0.20x = -0.15x 4.5 + -0.15x = 3 + 0.20x + -0.20x Combine like terms: 0.20x + -0.20x = 0.00 4.5 + -0.15x = 3 + 0.00 4.5 + -0.15x = 3 Add '-4.5' to each side of the equation. 4.5 + -4.5 + -0.15x = 3 + -4.5 Combine like terms: 4.5 + -4.5 = 0.0 0.0 + -0.15x = 3 + -4.5 -0.15x = 3 + -4.5 Combine like terms: 3 + -4.5 = -1.5 -0.15x = -1.5 Divide each side by '-0.15'. x = 10 Simplifying x = 10
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