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Simplifying 0.10 + (0.15)(20) = (0.12)(x + 20) Multiply 0.15 * 20 0.10 + 3 = (0.12)(x + 20) Combine like terms: 0.10 + 3 = 3.1 3.1 = (0.12)(x + 20) Reorder the terms: 3.1 = 0.12(20 + x) 3.1 = (20 * 0.12 + x * 0.12) 3.1 = (2.4 + 0.12x) Solving 3.1 = 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. 3.1 + -0.12x = 2.4 + 0.12x + -0.12x Combine like terms: 0.12x + -0.12x = 0.00 3.1 + -0.12x = 2.4 + 0.00 3.1 + -0.12x = 2.4 Add '-3.1' to each side of the equation. 3.1 + -3.1 + -0.12x = 2.4 + -3.1 Combine like terms: 3.1 + -3.1 = 0.0 0.0 + -0.12x = 2.4 + -3.1 -0.12x = 2.4 + -3.1 Combine like terms: 2.4 + -3.1 = -0.7 -0.12x = -0.7 Divide each side by '-0.12'. x = 5.833333333 Simplifying x = 5.833333333
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