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Simplifying -6 + -1(4 + 8x) = -2(x + -1) -6 + (4 * -1 + 8x * -1) = -2(x + -1) -6 + (-4 + -8x) = -2(x + -1) Combine like terms: -6 + -4 = -10 -10 + -8x = -2(x + -1) Reorder the terms: -10 + -8x = -2(-1 + x) -10 + -8x = (-1 * -2 + x * -2) -10 + -8x = (2 + -2x) Solving -10 + -8x = 2 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -10 + -8x + 2x = 2 + -2x + 2x Combine like terms: -8x + 2x = -6x -10 + -6x = 2 + -2x + 2x Combine like terms: -2x + 2x = 0 -10 + -6x = 2 + 0 -10 + -6x = 2 Add '10' to each side of the equation. -10 + 10 + -6x = 2 + 10 Combine like terms: -10 + 10 = 0 0 + -6x = 2 + 10 -6x = 2 + 10 Combine like terms: 2 + 10 = 12 -6x = 12 Divide each side by '-6'. x = -2 Simplifying x = -2
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