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Simplifying -4x + -2(-8x + 1) = -1(2x + 10) Reorder the terms: -4x + -2(1 + -8x) = -1(2x + 10) -4x + (1 * -2 + -8x * -2) = -1(2x + 10) -4x + (-2 + 16x) = -1(2x + 10) Reorder the terms: -2 + -4x + 16x = -1(2x + 10) Combine like terms: -4x + 16x = 12x -2 + 12x = -1(2x + 10) Reorder the terms: -2 + 12x = -1(10 + 2x) -2 + 12x = (10 * -1 + 2x * -1) -2 + 12x = (-10 + -2x) Solving -2 + 12x = -10 + -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. -2 + 12x + 2x = -10 + -2x + 2x Combine like terms: 12x + 2x = 14x -2 + 14x = -10 + -2x + 2x Combine like terms: -2x + 2x = 0 -2 + 14x = -10 + 0 -2 + 14x = -10 Add '2' to each side of the equation. -2 + 2 + 14x = -10 + 2 Combine like terms: -2 + 2 = 0 0 + 14x = -10 + 2 14x = -10 + 2 Combine like terms: -10 + 2 = -8 14x = -8 Divide each side by '14'. x = -0.5714285714 Simplifying x = -0.5714285714
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