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Simplifying -8(1 + -1x) + x = -1(8 + -6x) + 8 (1 * -8 + -1x * -8) + x = -1(8 + -6x) + 8 (-8 + 8x) + x = -1(8 + -6x) + 8 Combine like terms: 8x + x = 9x -8 + 9x = -1(8 + -6x) + 8 -8 + 9x = (8 * -1 + -6x * -1) + 8 -8 + 9x = (-8 + 6x) + 8 Reorder the terms: -8 + 9x = -8 + 8 + 6x Combine like terms: -8 + 8 = 0 -8 + 9x = 0 + 6x -8 + 9x = 6x Solving -8 + 9x = 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -8 + 9x + -6x = 6x + -6x Combine like terms: 9x + -6x = 3x -8 + 3x = 6x + -6x Combine like terms: 6x + -6x = 0 -8 + 3x = 0 Add '8' to each side of the equation. -8 + 8 + 3x = 0 + 8 Combine like terms: -8 + 8 = 0 0 + 3x = 0 + 8 3x = 0 + 8 Combine like terms: 0 + 8 = 8 3x = 8 Divide each side by '3'. x = 2.666666667 Simplifying x = 2.666666667
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