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Simplifying -5[1 + -5x] + 5[-8x + -2] = -4 + -8x [1 * -5 + -5x * -5] + 5[-8x + -2] = -4 + -8x [-5 + 25x] + 5[-8x + -2] = -4 + -8x Reorder the terms: -5 + 25x + 5[-2 + -8x] = -4 + -8x -5 + 25x + [-2 * 5 + -8x * 5] = -4 + -8x -5 + 25x + [-10 + -40x] = -4 + -8x Reorder the terms: -5 + -10 + 25x + -40x = -4 + -8x Combine like terms: -5 + -10 = -15 -15 + 25x + -40x = -4 + -8x Combine like terms: 25x + -40x = -15x -15 + -15x = -4 + -8x Solving -15 + -15x = -4 + -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. -15 + -15x + 8x = -4 + -8x + 8x Combine like terms: -15x + 8x = -7x -15 + -7x = -4 + -8x + 8x Combine like terms: -8x + 8x = 0 -15 + -7x = -4 + 0 -15 + -7x = -4 Add '15' to each side of the equation. -15 + 15 + -7x = -4 + 15 Combine like terms: -15 + 15 = 0 0 + -7x = -4 + 15 -7x = -4 + 15 Combine like terms: -4 + 15 = 11 -7x = 11 Divide each side by '-7'. x = -1.571428571 Simplifying x = -1.571428571
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