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Simplifying 0.0833(156x + -17) = 0.25(18 + 12x) Reorder the terms: 0.0833(-17 + 156x) = 0.25(18 + 12x) (-17 * 0.0833 + 156x * 0.0833) = 0.25(18 + 12x) (-1.4161 + 12.9948x) = 0.25(18 + 12x) -1.4161 + 12.9948x = (18 * 0.25 + 12x * 0.25) -1.4161 + 12.9948x = (4.5 + 3x) Solving -1.4161 + 12.9948x = 4.5 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -1.4161 + 12.9948x + -3x = 4.5 + 3x + -3x Combine like terms: 12.9948x + -3x = 9.9948x -1.4161 + 9.9948x = 4.5 + 3x + -3x Combine like terms: 3x + -3x = 0 -1.4161 + 9.9948x = 4.5 + 0 -1.4161 + 9.9948x = 4.5 Add '1.4161' to each side of the equation. -1.4161 + 1.4161 + 9.9948x = 4.5 + 1.4161 Combine like terms: -1.4161 + 1.4161 = 0.0000 0.0000 + 9.9948x = 4.5 + 1.4161 9.9948x = 4.5 + 1.4161 Combine like terms: 4.5 + 1.4161 = 5.9161 9.9948x = 5.9161 Divide each side by '9.9948'. x = 0.5919177973 Simplifying x = 0.5919177973
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