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Simplifying 20(0.15) + x(0.2) = 0.18(20 + x) Multiply 20 * 0.15 3 + x(0.2) = 0.18(20 + x) Reorder the terms for easier multiplication: 3 + 0.2x = 0.18(20 + x) 3 + 0.2x = (20 * 0.18 + x * 0.18) 3 + 0.2x = (3.6 + 0.18x) Solving 3 + 0.2x = 3.6 + 0.18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.18x' to each side of the equation. 3 + 0.2x + -0.18x = 3.6 + 0.18x + -0.18x Combine like terms: 0.2x + -0.18x = 0.02x 3 + 0.02x = 3.6 + 0.18x + -0.18x Combine like terms: 0.18x + -0.18x = 0.00 3 + 0.02x = 3.6 + 0.00 3 + 0.02x = 3.6 Add '-3' to each side of the equation. 3 + -3 + 0.02x = 3.6 + -3 Combine like terms: 3 + -3 = 0 0 + 0.02x = 3.6 + -3 0.02x = 3.6 + -3 Combine like terms: 3.6 + -3 = 0.6 0.02x = 0.6 Divide each side by '0.02'. x = 30 Simplifying x = 30
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