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Simplifying -9(4 + 9x) = 8(-2 + -11x) (4 * -9 + 9x * -9) = 8(-2 + -11x) (-36 + -81x) = 8(-2 + -11x) -36 + -81x = (-2 * 8 + -11x * 8) -36 + -81x = (-16 + -88x) Solving -36 + -81x = -16 + -88x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '88x' to each side of the equation. -36 + -81x + 88x = -16 + -88x + 88x Combine like terms: -81x + 88x = 7x -36 + 7x = -16 + -88x + 88x Combine like terms: -88x + 88x = 0 -36 + 7x = -16 + 0 -36 + 7x = -16 Add '36' to each side of the equation. -36 + 36 + 7x = -16 + 36 Combine like terms: -36 + 36 = 0 0 + 7x = -16 + 36 7x = -16 + 36 Combine like terms: -16 + 36 = 20 7x = 20 Divide each side by '7'. x = 2.857142857 Simplifying x = 2.857142857
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