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Simplifying -6(6 + -1x) + 6 = 6 + -8(x + 2) (6 * -6 + -1x * -6) + 6 = 6 + -8(x + 2) (-36 + 6x) + 6 = 6 + -8(x + 2) Reorder the terms: -36 + 6 + 6x = 6 + -8(x + 2) Combine like terms: -36 + 6 = -30 -30 + 6x = 6 + -8(x + 2) Reorder the terms: -30 + 6x = 6 + -8(2 + x) -30 + 6x = 6 + (2 * -8 + x * -8) -30 + 6x = 6 + (-16 + -8x) Combine like terms: 6 + -16 = -10 -30 + 6x = -10 + -8x Solving -30 + 6x = -10 + -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 = -10 + -8x + 8x Combine like terms: 6x + 8x = 14x -30 + 14x = -10 + -8x + 8x Combine like terms: -8x + 8x = 0 -30 + 14x = -10 + 0 -30 + 14x = -10 Add '30' to each side of the equation. -30 + 30 + 14x = -10 + 30 Combine like terms: -30 + 30 = 0 0 + 14x = -10 + 30 14x = -10 + 30 Combine like terms: -10 + 30 = 20 14x = 20 Divide each side by '14'. x = 1.428571429 Simplifying x = 1.428571429
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