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Simplifying -8(1 + -1x) = -6 + 6x (1 * -8 + -1x * -8) = -6 + 6x (-8 + 8x) = -6 + 6x Solving -8 + 8x = -6 + 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 + 8x + -6x = -6 + 6x + -6x Combine like terms: 8x + -6x = 2x -8 + 2x = -6 + 6x + -6x Combine like terms: 6x + -6x = 0 -8 + 2x = -6 + 0 -8 + 2x = -6 Add '8' to each side of the equation. -8 + 8 + 2x = -6 + 8 Combine like terms: -8 + 8 = 0 0 + 2x = -6 + 8 2x = -6 + 8 Combine like terms: -6 + 8 = 2 2x = 2 Divide each side by '2'. x = 1 Simplifying x = 1
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