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Simplifying -4x + -2(8x + 1) = -2(-2x + -10) Reorder the terms: -4x + -2(1 + 8x) = -2(-2x + -10) -4x + (1 * -2 + 8x * -2) = -2(-2x + -10) -4x + (-2 + -16x) = -2(-2x + -10) Reorder the terms: -2 + -4x + -16x = -2(-2x + -10) Combine like terms: -4x + -16x = -20x -2 + -20x = -2(-2x + -10) Reorder the terms: -2 + -20x = -2(-10 + -2x) -2 + -20x = (-10 * -2 + -2x * -2) -2 + -20x = (20 + 4x) Solving -2 + -20x = 20 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -2 + -20x + -4x = 20 + 4x + -4x Combine like terms: -20x + -4x = -24x -2 + -24x = 20 + 4x + -4x Combine like terms: 4x + -4x = 0 -2 + -24x = 20 + 0 -2 + -24x = 20 Add '2' to each side of the equation. -2 + 2 + -24x = 20 + 2 Combine like terms: -2 + 2 = 0 0 + -24x = 20 + 2 -24x = 20 + 2 Combine like terms: 20 + 2 = 22 -24x = 22 Divide each side by '-24'. x = -0.9166666667 Simplifying x = -0.9166666667
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