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Simplifying 3(3x + -2) = 5(4x + 9) Reorder the terms: 3(-2 + 3x) = 5(4x + 9) (-2 * 3 + 3x * 3) = 5(4x + 9) (-6 + 9x) = 5(4x + 9) Reorder the terms: -6 + 9x = 5(9 + 4x) -6 + 9x = (9 * 5 + 4x * 5) -6 + 9x = (45 + 20x) Solving -6 + 9x = 45 + 20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20x' to each side of the equation. -6 + 9x + -20x = 45 + 20x + -20x Combine like terms: 9x + -20x = -11x -6 + -11x = 45 + 20x + -20x Combine like terms: 20x + -20x = 0 -6 + -11x = 45 + 0 -6 + -11x = 45 Add '6' to each side of the equation. -6 + 6 + -11x = 45 + 6 Combine like terms: -6 + 6 = 0 0 + -11x = 45 + 6 -11x = 45 + 6 Combine like terms: 45 + 6 = 51 -11x = 51 Divide each side by '-11'. x = -4.636363636 Simplifying x = -4.636363636
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