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Simplifying 20 + -1(3x + -9) + -2 = -1(11x + 1) Reorder the terms: 20 + -1(-9 + 3x) + -2 = -1(11x + 1) 20 + (-9 * -1 + 3x * -1) + -2 = -1(11x + 1) 20 + (9 + -3x) + -2 = -1(11x + 1) Reorder the terms: 20 + 9 + -2 + -3x = -1(11x + 1) Combine like terms: 20 + 9 = 29 29 + -2 + -3x = -1(11x + 1) Combine like terms: 29 + -2 = 27 27 + -3x = -1(11x + 1) Reorder the terms: 27 + -3x = -1(1 + 11x) 27 + -3x = (1 * -1 + 11x * -1) 27 + -3x = (-1 + -11x) Solving 27 + -3x = -1 + -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 + -3x + 11x = -1 + -11x + 11x Combine like terms: -3x + 11x = 8x 27 + 8x = -1 + -11x + 11x Combine like terms: -11x + 11x = 0 27 + 8x = -1 + 0 27 + 8x = -1 Add '-27' to each side of the equation. 27 + -27 + 8x = -1 + -27 Combine like terms: 27 + -27 = 0 0 + 8x = -1 + -27 8x = -1 + -27 Combine like terms: -1 + -27 = -28 8x = -28 Divide each side by '8'. x = -3.5 Simplifying x = -3.5
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