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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 = -20x -2 + -20x = -1[2x + -10] Reorder the terms: -2 + -20x = -1[-10 + 2x] -2 + -20x = [-10 * -1 + 2x * -1] -2 + -20x = [10 + -2x] Solving -2 + -20x = 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 + -20x + 2x = 10 + -2x + 2x Combine like terms: -20x + 2x = -18x -2 + -18x = 10 + -2x + 2x Combine like terms: -2x + 2x = 0 -2 + -18x = 10 + 0 -2 + -18x = 10 Add '2' to each side of the equation. -2 + 2 + -18x = 10 + 2 Combine like terms: -2 + 2 = 0 0 + -18x = 10 + 2 -18x = 10 + 2 Combine like terms: 10 + 2 = 12 -18x = 12 Divide each side by '-18'. x = -0.6666666667 Simplifying x = -0.6666666667
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