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Simplifying 9(2X + 3) = 5(3X + -5) Reorder the terms: 9(3 + 2X) = 5(3X + -5) (3 * 9 + 2X * 9) = 5(3X + -5) (27 + 18X) = 5(3X + -5) Reorder the terms: 27 + 18X = 5(-5 + 3X) 27 + 18X = (-5 * 5 + 3X * 5) 27 + 18X = (-25 + 15X) Solving 27 + 18X = -25 + 15X Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-15X' to each side of the equation. 27 + 18X + -15X = -25 + 15X + -15X Combine like terms: 18X + -15X = 3X 27 + 3X = -25 + 15X + -15X Combine like terms: 15X + -15X = 0 27 + 3X = -25 + 0 27 + 3X = -25 Add '-27' to each side of the equation. 27 + -27 + 3X = -25 + -27 Combine like terms: 27 + -27 = 0 0 + 3X = -25 + -27 3X = -25 + -27 Combine like terms: -25 + -27 = -52 3X = -52 Divide each side by '3'. X = -17.33333333 Simplifying X = -17.33333333
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