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Simplifying -9(x + 3) + 3x + 6 = 5x + 9 Reorder the terms: -9(3 + x) + 3x + 6 = 5x + 9 (3 * -9 + x * -9) + 3x + 6 = 5x + 9 (-27 + -9x) + 3x + 6 = 5x + 9 Reorder the terms: -27 + 6 + -9x + 3x = 5x + 9 Combine like terms: -27 + 6 = -21 -21 + -9x + 3x = 5x + 9 Combine like terms: -9x + 3x = -6x -21 + -6x = 5x + 9 Reorder the terms: -21 + -6x = 9 + 5x Solving -21 + -6x = 9 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -21 + -6x + -5x = 9 + 5x + -5x Combine like terms: -6x + -5x = -11x -21 + -11x = 9 + 5x + -5x Combine like terms: 5x + -5x = 0 -21 + -11x = 9 + 0 -21 + -11x = 9 Add '21' to each side of the equation. -21 + 21 + -11x = 9 + 21 Combine like terms: -21 + 21 = 0 0 + -11x = 9 + 21 -11x = 9 + 21 Combine like terms: 9 + 21 = 30 -11x = 30 Divide each side by '-11'. x = -2.727272727 Simplifying x = -2.727272727
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