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Simplifying 3x + 6 = -8(x + 2) Reorder the terms: 6 + 3x = -8(x + 2) Reorder the terms: 6 + 3x = -8(2 + x) 6 + 3x = (2 * -8 + x * -8) 6 + 3x = (-16 + -8x) Solving 6 + 3x = -16 + -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. 6 + 3x + 8x = -16 + -8x + 8x Combine like terms: 3x + 8x = 11x 6 + 11x = -16 + -8x + 8x Combine like terms: -8x + 8x = 0 6 + 11x = -16 + 0 6 + 11x = -16 Add '-6' to each side of the equation. 6 + -6 + 11x = -16 + -6 Combine like terms: 6 + -6 = 0 0 + 11x = -16 + -6 11x = -16 + -6 Combine like terms: -16 + -6 = -22 11x = -22 Divide each side by '11'. x = -2 Simplifying x = -2
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