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Simplifying -9(x + 5) + x = -5(1 + -1x) Reorder the terms: -9(5 + x) + x = -5(1 + -1x) (5 * -9 + x * -9) + x = -5(1 + -1x) (-45 + -9x) + x = -5(1 + -1x) Combine like terms: -9x + x = -8x -45 + -8x = -5(1 + -1x) -45 + -8x = (1 * -5 + -1x * -5) -45 + -8x = (-5 + 5x) Solving -45 + -8x = -5 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -45 + -8x + -5x = -5 + 5x + -5x Combine like terms: -8x + -5x = -13x -45 + -13x = -5 + 5x + -5x Combine like terms: 5x + -5x = 0 -45 + -13x = -5 + 0 -45 + -13x = -5 Add '45' to each side of the equation. -45 + 45 + -13x = -5 + 45 Combine like terms: -45 + 45 = 0 0 + -13x = -5 + 45 -13x = -5 + 45 Combine like terms: -5 + 45 = 40 -13x = 40 Divide each side by '-13'. x = -3.076923077 Simplifying x = -3.076923077
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