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Simplifying -1x + -5(-1x + -4) = -1(8x + -1) Reorder the terms: -1x + -5(-4 + -1x) = -1(8x + -1) -1x + (-4 * -5 + -1x * -5) = -1(8x + -1) -1x + (20 + 5x) = -1(8x + -1) Reorder the terms: 20 + -1x + 5x = -1(8x + -1) Combine like terms: -1x + 5x = 4x 20 + 4x = -1(8x + -1) Reorder the terms: 20 + 4x = -1(-1 + 8x) 20 + 4x = (-1 * -1 + 8x * -1) 20 + 4x = (1 + -8x) Solving 20 + 4x = 1 + -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. 20 + 4x + 8x = 1 + -8x + 8x Combine like terms: 4x + 8x = 12x 20 + 12x = 1 + -8x + 8x Combine like terms: -8x + 8x = 0 20 + 12x = 1 + 0 20 + 12x = 1 Add '-20' to each side of the equation. 20 + -20 + 12x = 1 + -20 Combine like terms: 20 + -20 = 0 0 + 12x = 1 + -20 12x = 1 + -20 Combine like terms: 1 + -20 = -19 12x = -19 Divide each side by '12'. x = -1.583333333 Simplifying x = -1.583333333
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