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Simplifying -5(1 + -5x) + 5(-8 + -2x) = -4x + -8x (1 * -5 + -5x * -5) + 5(-8 + -2x) = -4x + -8x (-5 + 25x) + 5(-8 + -2x) = -4x + -8x -5 + 25x + (-8 * 5 + -2x * 5) = -4x + -8x -5 + 25x + (-40 + -10x) = -4x + -8x Reorder the terms: -5 + -40 + 25x + -10x = -4x + -8x Combine like terms: -5 + -40 = -45 -45 + 25x + -10x = -4x + -8x Combine like terms: 25x + -10x = 15x -45 + 15x = -4x + -8x Combine like terms: -4x + -8x = -12x -45 + 15x = -12x Solving -45 + 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. -45 + 15x + 12x = -12x + 12x Combine like terms: 15x + 12x = 27x -45 + 27x = -12x + 12x Combine like terms: -12x + 12x = 0 -45 + 27x = 0 Add '45' to each side of the equation. -45 + 45 + 27x = 0 + 45 Combine like terms: -45 + 45 = 0 0 + 27x = 0 + 45 27x = 0 + 45 Combine like terms: 0 + 45 = 45 27x = 45 Divide each side by '27'. x = 1.666666667 Simplifying x = 1.666666667
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