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Simplifying x + 8 + x + 3 = -5(x + 3) + -9(3x + 6) Reorder the terms: 8 + 3 + x + x = -5(x + 3) + -9(3x + 6) Combine like terms: 8 + 3 = 11 11 + x + x = -5(x + 3) + -9(3x + 6) Combine like terms: x + x = 2x 11 + 2x = -5(x + 3) + -9(3x + 6) Reorder the terms: 11 + 2x = -5(3 + x) + -9(3x + 6) 11 + 2x = (3 * -5 + x * -5) + -9(3x + 6) 11 + 2x = (-15 + -5x) + -9(3x + 6) Reorder the terms: 11 + 2x = -15 + -5x + -9(6 + 3x) 11 + 2x = -15 + -5x + (6 * -9 + 3x * -9) 11 + 2x = -15 + -5x + (-54 + -27x) Reorder the terms: 11 + 2x = -15 + -54 + -5x + -27x Combine like terms: -15 + -54 = -69 11 + 2x = -69 + -5x + -27x Combine like terms: -5x + -27x = -32x 11 + 2x = -69 + -32x Solving 11 + 2x = -69 + -32x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '32x' to each side of the equation. 11 + 2x + 32x = -69 + -32x + 32x Combine like terms: 2x + 32x = 34x 11 + 34x = -69 + -32x + 32x Combine like terms: -32x + 32x = 0 11 + 34x = -69 + 0 11 + 34x = -69 Add '-11' to each side of the equation. 11 + -11 + 34x = -69 + -11 Combine like terms: 11 + -11 = 0 0 + 34x = -69 + -11 34x = -69 + -11 Combine like terms: -69 + -11 = -80 34x = -80 Divide each side by '34'. x = -2.352941176 Simplifying x = -2.352941176
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