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Simplifying 0.10x + 0.15(20 + x) = 0.12(20) 0.10x + (20 * 0.15 + x * 0.15) = 0.12(20) 0.10x + (3 + 0.15x) = 0.12(20) Reorder the terms: 3 + 0.10x + 0.15x = 0.12(20) Combine like terms: 0.10x + 0.15x = 0.25x 3 + 0.25x = 0.12(20) Multiply 0.12 * 20 3 + 0.25x = 2.4 Solving 3 + 0.25x = 2.4 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 0.25x = 2.4 + -3 Combine like terms: 3 + -3 = 0 0 + 0.25x = 2.4 + -3 0.25x = 2.4 + -3 Combine like terms: 2.4 + -3 = -0.6 0.25x = -0.6 Divide each side by '0.25'. x = -2.4 Simplifying x = -2.4
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