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Simplifying 9(x + 9) = -3(x + -9) Reorder the terms: 9(9 + x) = -3(x + -9) (9 * 9 + x * 9) = -3(x + -9) (81 + 9x) = -3(x + -9) Reorder the terms: 81 + 9x = -3(-9 + x) 81 + 9x = (-9 * -3 + x * -3) 81 + 9x = (27 + -3x) Solving 81 + 9x = 27 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 81 + 9x + 3x = 27 + -3x + 3x Combine like terms: 9x + 3x = 12x 81 + 12x = 27 + -3x + 3x Combine like terms: -3x + 3x = 0 81 + 12x = 27 + 0 81 + 12x = 27 Add '-81' to each side of the equation. 81 + -81 + 12x = 27 + -81 Combine like terms: 81 + -81 = 0 0 + 12x = 27 + -81 12x = 27 + -81 Combine like terms: 27 + -81 = -54 12x = -54 Divide each side by '12'. x = -4.5 Simplifying x = -4.5
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