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Simplifying 9x + 2(4 + -2x) = 11x + -9 9x + (4 * 2 + -2x * 2) = 11x + -9 9x + (8 + -4x) = 11x + -9 Reorder the terms: 8 + 9x + -4x = 11x + -9 Combine like terms: 9x + -4x = 5x 8 + 5x = 11x + -9 Reorder the terms: 8 + 5x = -9 + 11x Solving 8 + 5x = -9 + 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. 8 + 5x + -11x = -9 + 11x + -11x Combine like terms: 5x + -11x = -6x 8 + -6x = -9 + 11x + -11x Combine like terms: 11x + -11x = 0 8 + -6x = -9 + 0 8 + -6x = -9 Add '-8' to each side of the equation. 8 + -8 + -6x = -9 + -8 Combine like terms: 8 + -8 = 0 0 + -6x = -9 + -8 -6x = -9 + -8 Combine like terms: -9 + -8 = -17 -6x = -17 Divide each side by '-6'. x = 2.833333333 Simplifying x = 2.833333333
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