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Simplifying 0.0833(156x + -17) = 5(18 + 12x) Reorder the terms: 0.0833(-17 + 156x) = 5(18 + 12x) (-17 * 0.0833 + 156x * 0.0833) = 5(18 + 12x) (-1.4161 + 12.9948x) = 5(18 + 12x) -1.4161 + 12.9948x = (18 * 5 + 12x * 5) -1.4161 + 12.9948x = (90 + 60x) Solving -1.4161 + 12.9948x = 90 + 60x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-60x' to each side of the equation. -1.4161 + 12.9948x + -60x = 90 + 60x + -60x Combine like terms: 12.9948x + -60x = -47.0052x -1.4161 + -47.0052x = 90 + 60x + -60x Combine like terms: 60x + -60x = 0 -1.4161 + -47.0052x = 90 + 0 -1.4161 + -47.0052x = 90 Add '1.4161' to each side of the equation. -1.4161 + 1.4161 + -47.0052x = 90 + 1.4161 Combine like terms: -1.4161 + 1.4161 = 0.0000 0.0000 + -47.0052x = 90 + 1.4161 -47.0052x = 90 + 1.4161 Combine like terms: 90 + 1.4161 = 91.4161 -47.0052x = 91.4161 Divide each side by '-47.0052'. x = -1.944808234 Simplifying x = -1.944808234
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