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