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Simplifying 11 + -1(2 + -9x) = 15 + -1(2x + 9) 11 + (2 * -1 + -9x * -1) = 15 + -1(2x + 9) 11 + (-2 + 9x) = 15 + -1(2x + 9) Combine like terms: 11 + -2 = 9 9 + 9x = 15 + -1(2x + 9) Reorder the terms: 9 + 9x = 15 + -1(9 + 2x) 9 + 9x = 15 + (9 * -1 + 2x * -1) 9 + 9x = 15 + (-9 + -2x) Combine like terms: 15 + -9 = 6 9 + 9x = 6 + -2x Solving 9 + 9x = 6 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 9 + 9x + 2x = 6 + -2x + 2x Combine like terms: 9x + 2x = 11x 9 + 11x = 6 + -2x + 2x Combine like terms: -2x + 2x = 0 9 + 11x = 6 + 0 9 + 11x = 6 Add '-9' to each side of the equation. 9 + -9 + 11x = 6 + -9 Combine like terms: 9 + -9 = 0 0 + 11x = 6 + -9 11x = 6 + -9 Combine like terms: 6 + -9 = -3 11x = -3 Divide each side by '11'. x = -0.2727272727 Simplifying x = -0.2727272727
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