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Simplifying 3(x + 3) = 24 + -8(x + 2) Reorder the terms: 3(3 + x) = 24 + -8(x + 2) (3 * 3 + x * 3) = 24 + -8(x + 2) (9 + 3x) = 24 + -8(x + 2) Reorder the terms: 9 + 3x = 24 + -8(2 + x) 9 + 3x = 24 + (2 * -8 + x * -8) 9 + 3x = 24 + (-16 + -8x) Combine like terms: 24 + -16 = 8 9 + 3x = 8 + -8x Solving 9 + 3x = 8 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. 9 + 3x + 8x = 8 + -8x + 8x Combine like terms: 3x + 8x = 11x 9 + 11x = 8 + -8x + 8x Combine like terms: -8x + 8x = 0 9 + 11x = 8 + 0 9 + 11x = 8 Add '-9' to each side of the equation. 9 + -9 + 11x = 8 + -9 Combine like terms: 9 + -9 = 0 0 + 11x = 8 + -9 11x = 8 + -9 Combine like terms: 8 + -9 = -1 11x = -1 Divide each side by '11'. x = -0.09090909091 Simplifying x = -0.09090909091
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