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Simplifying -5[1 + -5x] + 5[-8x + -2] = -1x + -8x [1 * -5 + -5x * -5] + 5[-8x + -2] = -1x + -8x [-5 + 25x] + 5[-8x + -2] = -1x + -8x Reorder the terms: -5 + 25x + 5[-2 + -8x] = -1x + -8x -5 + 25x + [-2 * 5 + -8x * 5] = -1x + -8x -5 + 25x + [-10 + -40x] = -1x + -8x Reorder the terms: -5 + -10 + 25x + -40x = -1x + -8x Combine like terms: -5 + -10 = -15 -15 + 25x + -40x = -1x + -8x Combine like terms: 25x + -40x = -15x -15 + -15x = -1x + -8x Combine like terms: -1x + -8x = -9x -15 + -15x = -9x Solving -15 + -15x = -9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9x' to each side of the equation. -15 + -15x + 9x = -9x + 9x Combine like terms: -15x + 9x = -6x -15 + -6x = -9x + 9x Combine like terms: -9x + 9x = 0 -15 + -6x = 0 Add '15' to each side of the equation. -15 + 15 + -6x = 0 + 15 Combine like terms: -15 + 15 = 0 0 + -6x = 0 + 15 -6x = 0 + 15 Combine like terms: 0 + 15 = 15 -6x = 15 Divide each side by '-6'. x = -2.5 Simplifying x = -2.5
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