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Simplifying -9(37x + -53) = 27(2x + 59) Reorder the terms: -9(-53 + 37x) = 27(2x + 59) (-53 * -9 + 37x * -9) = 27(2x + 59) (477 + -333x) = 27(2x + 59) Reorder the terms: 477 + -333x = 27(59 + 2x) 477 + -333x = (59 * 27 + 2x * 27) 477 + -333x = (1593 + 54x) Solving 477 + -333x = 1593 + 54x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-54x' to each side of the equation. 477 + -333x + -54x = 1593 + 54x + -54x Combine like terms: -333x + -54x = -387x 477 + -387x = 1593 + 54x + -54x Combine like terms: 54x + -54x = 0 477 + -387x = 1593 + 0 477 + -387x = 1593 Add '-477' to each side of the equation. 477 + -477 + -387x = 1593 + -477 Combine like terms: 477 + -477 = 0 0 + -387x = 1593 + -477 -387x = 1593 + -477 Combine like terms: 1593 + -477 = 1116 -387x = 1116 Divide each side by '-387'. x = -2.88372093 Simplifying x = -2.88372093
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