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Simplifying -5(1 + -5x) + 5(8 + -8x + -2) = -4x + -8x (1 * -5 + -5x * -5) + 5(8 + -8x + -2) = -4x + -8x (-5 + 25x) + 5(8 + -8x + -2) = -4x + -8x Reorder the terms: -5 + 25x + 5(8 + -2 + -8x) = -4x + -8x Combine like terms: 8 + -2 = 6 -5 + 25x + 5(6 + -8x) = -4x + -8x -5 + 25x + (6 * 5 + -8x * 5) = -4x + -8x -5 + 25x + (30 + -40x) = -4x + -8x Reorder the terms: -5 + 30 + 25x + -40x = -4x + -8x Combine like terms: -5 + 30 = 25 25 + 25x + -40x = -4x + -8x Combine like terms: 25x + -40x = -15x 25 + -15x = -4x + -8x Combine like terms: -4x + -8x = -12x 25 + -15x = -12x Solving 25 + -15x = -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. 25 + -15x + 12x = -12x + 12x Combine like terms: -15x + 12x = -3x 25 + -3x = -12x + 12x Combine like terms: -12x + 12x = 0 25 + -3x = 0 Add '-25' to each side of the equation. 25 + -25 + -3x = 0 + -25 Combine like terms: 25 + -25 = 0 0 + -3x = 0 + -25 -3x = 0 + -25 Combine like terms: 0 + -25 = -25 -3x = -25 Divide each side by '-3'. x = 8.333333333 Simplifying x = 8.333333333
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