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Simplifying 0.20x + 0.5(18 + -1x) = 0.10(-12) 0.20x + (18 * 0.5 + -1x * 0.5) = 0.10(-12) 0.20x + (9 + -0.5x) = 0.10(-12) Reorder the terms: 9 + 0.20x + -0.5x = 0.10(-12) Combine like terms: 0.20x + -0.5x = -0.3x 9 + -0.3x = 0.10(-12) Multiply 0.10 * -12 9 + -0.3x = -1.2 Solving 9 + -0.3x = -1.2 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -0.3x = -1.2 + -9 Combine like terms: 9 + -9 = 0 0 + -0.3x = -1.2 + -9 -0.3x = -1.2 + -9 Combine like terms: -1.2 + -9 = -10.2 -0.3x = -10.2 Divide each side by '-0.3'. x = 34 Simplifying x = 34
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