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Simplifying -6(6 + -1x) + 6 = 12 + -8(x + 2) (6 * -6 + -1x * -6) + 6 = 12 + -8(x + 2) (-36 + 6x) + 6 = 12 + -8(x + 2) Reorder the terms: -36 + 6 + 6x = 12 + -8(x + 2) Combine like terms: -36 + 6 = -30 -30 + 6x = 12 + -8(x + 2) Reorder the terms: -30 + 6x = 12 + -8(2 + x) -30 + 6x = 12 + (2 * -8 + x * -8) -30 + 6x = 12 + (-16 + -8x) Combine like terms: 12 + -16 = -4 -30 + 6x = -4 + -8x Solving -30 + 6x = -4 + -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. -30 + 6x + 8x = -4 + -8x + 8x Combine like terms: 6x + 8x = 14x -30 + 14x = -4 + -8x + 8x Combine like terms: -8x + 8x = 0 -30 + 14x = -4 + 0 -30 + 14x = -4 Add '30' to each side of the equation. -30 + 30 + 14x = -4 + 30 Combine like terms: -30 + 30 = 0 0 + 14x = -4 + 30 14x = -4 + 30 Combine like terms: -4 + 30 = 26 14x = 26 Divide each side by '14'. x = 1.857142857 Simplifying x = 1.857142857
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