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Simplifying 9 + -2(8x + -9) = 11x Reorder the terms: 9 + -2(-9 + 8x) = 11x 9 + (-9 * -2 + 8x * -2) = 11x 9 + (18 + -16x) = 11x Combine like terms: 9 + 18 = 27 27 + -16x = 11x Solving 27 + -16x = 11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11x' to each side of the equation. 27 + -16x + -11x = 11x + -11x Combine like terms: -16x + -11x = -27x 27 + -27x = 11x + -11x Combine like terms: 11x + -11x = 0 27 + -27x = 0 Add '-27' to each side of the equation. 27 + -27 + -27x = 0 + -27 Combine like terms: 27 + -27 = 0 0 + -27x = 0 + -27 -27x = 0 + -27 Combine like terms: 0 + -27 = -27 -27x = -27 Divide each side by '-27'. x = 1 Simplifying x = 1
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