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Simplifying -532(345x + 182) = 315(136x + 39) Reorder the terms: -532(182 + 345x) = 315(136x + 39) (182 * -532 + 345x * -532) = 315(136x + 39) (-96824 + -183540x) = 315(136x + 39) Reorder the terms: -96824 + -183540x = 315(39 + 136x) -96824 + -183540x = (39 * 315 + 136x * 315) -96824 + -183540x = (12285 + 42840x) Solving -96824 + -183540x = 12285 + 42840x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-42840x' to each side of the equation. -96824 + -183540x + -42840x = 12285 + 42840x + -42840x Combine like terms: -183540x + -42840x = -226380x -96824 + -226380x = 12285 + 42840x + -42840x Combine like terms: 42840x + -42840x = 0 -96824 + -226380x = 12285 + 0 -96824 + -226380x = 12285 Add '96824' to each side of the equation. -96824 + 96824 + -226380x = 12285 + 96824 Combine like terms: -96824 + 96824 = 0 0 + -226380x = 12285 + 96824 -226380x = 12285 + 96824 Combine like terms: 12285 + 96824 = 109109 -226380x = 109109 Divide each side by '-226380'. x = -0.4819727891 Simplifying x = -0.4819727891
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