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Simplifying -5(-4x + 5) + -9x = 5(x + -8) + -1 Reorder the terms: -5(5 + -4x) + -9x = 5(x + -8) + -1 (5 * -5 + -4x * -5) + -9x = 5(x + -8) + -1 (-25 + 20x) + -9x = 5(x + -8) + -1 Combine like terms: 20x + -9x = 11x -25 + 11x = 5(x + -8) + -1 Reorder the terms: -25 + 11x = 5(-8 + x) + -1 -25 + 11x = (-8 * 5 + x * 5) + -1 -25 + 11x = (-40 + 5x) + -1 Reorder the terms: -25 + 11x = -40 + -1 + 5x Combine like terms: -40 + -1 = -41 -25 + 11x = -41 + 5x Solving -25 + 11x = -41 + 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. -25 + 11x + -5x = -41 + 5x + -5x Combine like terms: 11x + -5x = 6x -25 + 6x = -41 + 5x + -5x Combine like terms: 5x + -5x = 0 -25 + 6x = -41 + 0 -25 + 6x = -41 Add '25' to each side of the equation. -25 + 25 + 6x = -41 + 25 Combine like terms: -25 + 25 = 0 0 + 6x = -41 + 25 6x = -41 + 25 Combine like terms: -41 + 25 = -16 6x = -16 Divide each side by '6'. x = -2.666666667 Simplifying x = -2.666666667
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