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Simplifying -6(6 + -1x) + 8 = 10 + -8(x + 2) (6 * -6 + -1x * -6) + 8 = 10 + -8(x + 2) (-36 + 6x) + 8 = 10 + -8(x + 2) Reorder the terms: -36 + 8 + 6x = 10 + -8(x + 2) Combine like terms: -36 + 8 = -28 -28 + 6x = 10 + -8(x + 2) Reorder the terms: -28 + 6x = 10 + -8(2 + x) -28 + 6x = 10 + (2 * -8 + x * -8) -28 + 6x = 10 + (-16 + -8x) Combine like terms: 10 + -16 = -6 -28 + 6x = -6 + -8x Solving -28 + 6x = -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. -28 + 6x + 8x = -6 + -8x + 8x Combine like terms: 6x + 8x = 14x -28 + 14x = -6 + -8x + 8x Combine like terms: -8x + 8x = 0 -28 + 14x = -6 + 0 -28 + 14x = -6 Add '28' to each side of the equation. -28 + 28 + 14x = -6 + 28 Combine like terms: -28 + 28 = 0 0 + 14x = -6 + 28 14x = -6 + 28 Combine like terms: -6 + 28 = 22 14x = 22 Divide each side by '14'. x = 1.571428571 Simplifying x = 1.571428571
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