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Simplifying -6(x + 3) + 3x + 6 = 8x + 6 Reorder the terms: -6(3 + x) + 3x + 6 = 8x + 6 (3 * -6 + x * -6) + 3x + 6 = 8x + 6 (-18 + -6x) + 3x + 6 = 8x + 6 Reorder the terms: -18 + 6 + -6x + 3x = 8x + 6 Combine like terms: -18 + 6 = -12 -12 + -6x + 3x = 8x + 6 Combine like terms: -6x + 3x = -3x -12 + -3x = 8x + 6 Reorder the terms: -12 + -3x = 6 + 8x Solving -12 + -3x = 6 + 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. -12 + -3x + -8x = 6 + 8x + -8x Combine like terms: -3x + -8x = -11x -12 + -11x = 6 + 8x + -8x Combine like terms: 8x + -8x = 0 -12 + -11x = 6 + 0 -12 + -11x = 6 Add '12' to each side of the equation. -12 + 12 + -11x = 6 + 12 Combine like terms: -12 + 12 = 0 0 + -11x = 6 + 12 -11x = 6 + 12 Combine like terms: 6 + 12 = 18 -11x = 18 Divide each side by '-11'. x = -1.636363636 Simplifying x = -1.636363636
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