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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 = 11 11 + 2 + -3x = -1(-11x + 1) Combine like terms: 11 + 2 = 13 13 + -3x = -1(-11x + 1) Reorder the terms: 13 + -3x = -1(1 + -11x) 13 + -3x = (1 * -1 + -11x * -1) 13 + -3x = (-1 + 11x) Solving 13 + -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. 13 + -3x + -11x = -1 + 11x + -11x Combine like terms: -3x + -11x = -14x 13 + -14x = -1 + 11x + -11x Combine like terms: 11x + -11x = 0 13 + -14x = -1 + 0 13 + -14x = -1 Add '-13' to each side of the equation. 13 + -13 + -14x = -1 + -13 Combine like terms: 13 + -13 = 0 0 + -14x = -1 + -13 -14x = -1 + -13 Combine like terms: -1 + -13 = -14 -14x = -14 Divide each side by '-14'. x = 1 Simplifying x = 1
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