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Simplifying -5(1 + -5x) + 5(-8x + -2) = -4x + -8x (1 * -5 + -5x * -5) + 5(-8x + -2) = -4x + -8x (-5 + 25x) + 5(-8x + -2) = -4x + -8x Reorder the terms: -5 + 25x + 5(-2 + -8x) = -4x + -8x -5 + 25x + (-2 * 5 + -8x * 5) = -4x + -8x -5 + 25x + (-10 + -40x) = -4x + -8x Reorder the terms: -5 + -10 + 25x + -40x = -4x + -8x Combine like terms: -5 + -10 = -15 -15 + 25x + -40x = -4x + -8x Combine like terms: 25x + -40x = -15x -15 + -15x = -4x + -8x Combine like terms: -4x + -8x = -12x -15 + -15x = -12x Solving -15 + -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. -15 + -15x + 12x = -12x + 12x Combine like terms: -15x + 12x = -3x -15 + -3x = -12x + 12x Combine like terms: -12x + 12x = 0 -15 + -3x = 0 Add '15' to each side of the equation. -15 + 15 + -3x = 0 + 15 Combine like terms: -15 + 15 = 0 0 + -3x = 0 + 15 -3x = 0 + 15 Combine like terms: 0 + 15 = 15 -3x = 15 Divide each side by '-3'. x = -5 Simplifying x = -5
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