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Simplifying 11(x + 9) = -1(11 + -6x) Reorder the terms: 11(9 + x) = -1(11 + -6x) (9 * 11 + x * 11) = -1(11 + -6x) (99 + 11x) = -1(11 + -6x) 99 + 11x = (11 * -1 + -6x * -1) 99 + 11x = (-11 + 6x) Solving 99 + 11x = -11 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 99 + 11x + -6x = -11 + 6x + -6x Combine like terms: 11x + -6x = 5x 99 + 5x = -11 + 6x + -6x Combine like terms: 6x + -6x = 0 99 + 5x = -11 + 0 99 + 5x = -11 Add '-99' to each side of the equation. 99 + -99 + 5x = -11 + -99 Combine like terms: 99 + -99 = 0 0 + 5x = -11 + -99 5x = -11 + -99 Combine like terms: -11 + -99 = -110 5x = -110 Divide each side by '5'. x = -22 Simplifying x = -22
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