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Simplifying (20)(0.15) + (0.1)(x) = (0.12)(20 + x) Multiply 20 * 0.15 3 + (0.1)(x) = (0.12)(20 + x) 3 + 0.1x = (20 * 0.12 + x * 0.12) 3 + 0.1x = (2.4 + 0.12x) Solving 3 + 0.1x = 2.4 + 0.12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.12x' to each side of the equation. 3 + 0.1x + -0.12x = 2.4 + 0.12x + -0.12x Combine like terms: 0.1x + -0.12x = -0.02x 3 + -0.02x = 2.4 + 0.12x + -0.12x Combine like terms: 0.12x + -0.12x = 0.00 3 + -0.02x = 2.4 + 0.00 3 + -0.02x = 2.4 Add '-3' to each side of the equation. 3 + -3 + -0.02x = 2.4 + -3 Combine like terms: 3 + -3 = 0 0 + -0.02x = 2.4 + -3 -0.02x = 2.4 + -3 Combine like terms: 2.4 + -3 = -0.6 -0.02x = -0.6 Divide each side by '-0.02'. x = 30 Simplifying x = 30
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