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Simplifying -1(1 + 5x) + 5(-8x + -2) = -4x + -8x (1 * -1 + 5x * -1) + 5(-8x + -2) = -4x + -8x (-1 + -5x) + 5(-8x + -2) = -4x + -8x Reorder the terms: -1 + -5x + 5(-2 + -8x) = -4x + -8x -1 + -5x + (-2 * 5 + -8x * 5) = -4x + -8x -1 + -5x + (-10 + -40x) = -4x + -8x Reorder the terms: -1 + -10 + -5x + -40x = -4x + -8x Combine like terms: -1 + -10 = -11 -11 + -5x + -40x = -4x + -8x Combine like terms: -5x + -40x = -45x -11 + -45x = -4x + -8x Combine like terms: -4x + -8x = -12x -11 + -45x = -12x Solving -11 + -45x = -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. -11 + -45x + 12x = -12x + 12x Combine like terms: -45x + 12x = -33x -11 + -33x = -12x + 12x Combine like terms: -12x + 12x = 0 -11 + -33x = 0 Add '11' to each side of the equation. -11 + 11 + -33x = 0 + 11 Combine like terms: -11 + 11 = 0 0 + -33x = 0 + 11 -33x = 0 + 11 Combine like terms: 0 + 11 = 11 -33x = 11 Divide each side by '-33'. x = -0.3333333333 Simplifying x = -0.3333333333
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