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Simplifying -1(-5(-9 + -1x) + -9) = -1((-4 + x) + -4x) -1((-9 * -5 + -1x * -5) + -9) = -1((-4 + x) + -4x) -1((45 + 5x) + -9) = -1((-4 + x) + -4x) Reorder the terms: -1(45 + -9 + 5x) = -1((-4 + x) + -4x) Combine like terms: 45 + -9 = 36 -1(36 + 5x) = -1((-4 + x) + -4x) (36 * -1 + 5x * -1) = -1((-4 + x) + -4x) (-36 + -5x) = -1((-4 + x) + -4x) Remove parenthesis around (-4 + x) -36 + -5x = -1(-4 + x + -4x) Combine like terms: x + -4x = -3x -36 + -5x = -1(-4 + -3x) -36 + -5x = (-4 * -1 + -3x * -1) -36 + -5x = (4 + 3x) Solving -36 + -5x = 4 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -36 + -5x + -3x = 4 + 3x + -3x Combine like terms: -5x + -3x = -8x -36 + -8x = 4 + 3x + -3x Combine like terms: 3x + -3x = 0 -36 + -8x = 4 + 0 -36 + -8x = 4 Add '36' to each side of the equation. -36 + 36 + -8x = 4 + 36 Combine like terms: -36 + 36 = 0 0 + -8x = 4 + 36 -8x = 4 + 36 Combine like terms: 4 + 36 = 40 -8x = 40 Divide each side by '-8'. x = -5 Simplifying x = -5
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