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Simplifying 9(3x + 7) + 33 = -3(11x + 8) Reorder the terms: 9(7 + 3x) + 33 = -3(11x + 8) (7 * 9 + 3x * 9) + 33 = -3(11x + 8) (63 + 27x) + 33 = -3(11x + 8) Reorder the terms: 63 + 33 + 27x = -3(11x + 8) Combine like terms: 63 + 33 = 96 96 + 27x = -3(11x + 8) Reorder the terms: 96 + 27x = -3(8 + 11x) 96 + 27x = (8 * -3 + 11x * -3) 96 + 27x = (-24 + -33x) Solving 96 + 27x = -24 + -33x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '33x' to each side of the equation. 96 + 27x + 33x = -24 + -33x + 33x Combine like terms: 27x + 33x = 60x 96 + 60x = -24 + -33x + 33x Combine like terms: -33x + 33x = 0 96 + 60x = -24 + 0 96 + 60x = -24 Add '-96' to each side of the equation. 96 + -96 + 60x = -24 + -96 Combine like terms: 96 + -96 = 0 0 + 60x = -24 + -96 60x = -24 + -96 Combine like terms: -24 + -96 = -120 60x = -120 Divide each side by '60'. x = -2 Simplifying x = -2
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