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Simplifying -5(1 + -5x) + 5(-8 + 2) = -4x + -8x (1 * -5 + -5x * -5) + 5(-8 + 2) = -4x + -8x (-5 + 25x) + 5(-8 + 2) = -4x + -8x Combine like terms: -8 + 2 = -6 -5 + 25x + 5(-6) = -4x + -8x Multiply 5 * -6 -5 + 25x + -30 = -4x + -8x Reorder the terms: -5 + -30 + 25x = -4x + -8x Combine like terms: -5 + -30 = -35 -35 + 25x = -4x + -8x Combine like terms: -4x + -8x = -12x -35 + 25x = -12x Solving -35 + 25x = -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. -35 + 25x + 12x = -12x + 12x Combine like terms: 25x + 12x = 37x -35 + 37x = -12x + 12x Combine like terms: -12x + 12x = 0 -35 + 37x = 0 Add '35' to each side of the equation. -35 + 35 + 37x = 0 + 35 Combine like terms: -35 + 35 = 0 0 + 37x = 0 + 35 37x = 0 + 35 Combine like terms: 0 + 35 = 35 37x = 35 Divide each side by '37'. x = 0.9459459459 Simplifying x = 0.9459459459
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