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Simplifying -5(1 + -5x) + 5 + -1(8x + -2) = -4x + -8x (1 * -5 + -5x * -5) + 5 + -1(8x + -2) = -4x + -8x (-5 + 25x) + 5 + -1(8x + -2) = -4x + -8x Reorder the terms: -5 + 25x + 5 + -1(-2 + 8x) = -4x + -8x -5 + 25x + 5 + (-2 * -1 + 8x * -1) = -4x + -8x -5 + 25x + 5 + (2 + -8x) = -4x + -8x Reorder the terms: -5 + 5 + 2 + 25x + -8x = -4x + -8x Combine like terms: -5 + 5 = 0 0 + 2 + 25x + -8x = -4x + -8x 2 + 25x + -8x = -4x + -8x Combine like terms: 25x + -8x = 17x 2 + 17x = -4x + -8x Combine like terms: -4x + -8x = -12x 2 + 17x = -12x Solving 2 + 17x = -12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12x' to each side of the equation. 2 + 17x + 12x = -12x + 12x Combine like terms: 17x + 12x = 29x 2 + 29x = -12x + 12x Combine like terms: -12x + 12x = 0 2 + 29x = 0 Add '-2' to each side of the equation. 2 + -2 + 29x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 29x = 0 + -2 29x = 0 + -2 Combine like terms: 0 + -2 = -2 29x = -2 Divide each side by '29'. x = -0.06896551724 Simplifying x = -0.06896551724
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