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Simplifying -9(x + 2) + 3x + 6 = 5x + 6 Reorder the terms: -9(2 + x) + 3x + 6 = 5x + 6 (2 * -9 + x * -9) + 3x + 6 = 5x + 6 (-18 + -9x) + 3x + 6 = 5x + 6 Reorder the terms: -18 + 6 + -9x + 3x = 5x + 6 Combine like terms: -18 + 6 = -12 -12 + -9x + 3x = 5x + 6 Combine like terms: -9x + 3x = -6x -12 + -6x = 5x + 6 Reorder the terms: -12 + -6x = 6 + 5x Solving -12 + -6x = 6 + 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. -12 + -6x + -5x = 6 + 5x + -5x Combine like terms: -6x + -5x = -11x -12 + -11x = 6 + 5x + -5x Combine like terms: 5x + -5x = 0 -12 + -11x = 6 + 0 -12 + -11x = 6 Add '12' to each side of the equation. -12 + 12 + -11x = 6 + 12 Combine like terms: -12 + 12 = 0 0 + -11x = 6 + 12 -11x = 6 + 12 Combine like terms: 6 + 12 = 18 -11x = 18 Divide each side by '-11'. x = -1.636363636 Simplifying x = -1.636363636
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