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Simplifying 5(12x + -17) = 9(9x + 5) Reorder the terms: 5(-17 + 12x) = 9(9x + 5) (-17 * 5 + 12x * 5) = 9(9x + 5) (-85 + 60x) = 9(9x + 5) Reorder the terms: -85 + 60x = 9(5 + 9x) -85 + 60x = (5 * 9 + 9x * 9) -85 + 60x = (45 + 81x) Solving -85 + 60x = 45 + 81x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-81x' to each side of the equation. -85 + 60x + -81x = 45 + 81x + -81x Combine like terms: 60x + -81x = -21x -85 + -21x = 45 + 81x + -81x Combine like terms: 81x + -81x = 0 -85 + -21x = 45 + 0 -85 + -21x = 45 Add '85' to each side of the equation. -85 + 85 + -21x = 45 + 85 Combine like terms: -85 + 85 = 0 0 + -21x = 45 + 85 -21x = 45 + 85 Combine like terms: 45 + 85 = 130 -21x = 130 Divide each side by '-21'. x = -6.19047619 Simplifying x = -6.19047619
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