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Simplifying 20 + -1(3x + -9) = -1(-11x + 1) Reorder the terms: 20 + -1(-9 + 3x) = -1(-11x + 1) 20 + (-9 * -1 + 3x * -1) = -1(-11x + 1) 20 + (9 + -3x) = -1(-11x + 1) Combine like terms: 20 + 9 = 29 29 + -3x = -1(-11x + 1) Reorder the terms: 29 + -3x = -1(1 + -11x) 29 + -3x = (1 * -1 + -11x * -1) 29 + -3x = (-1 + 11x) Solving 29 + -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. 29 + -3x + -11x = -1 + 11x + -11x Combine like terms: -3x + -11x = -14x 29 + -14x = -1 + 11x + -11x Combine like terms: 11x + -11x = 0 29 + -14x = -1 + 0 29 + -14x = -1 Add '-29' to each side of the equation. 29 + -29 + -14x = -1 + -29 Combine like terms: 29 + -29 = 0 0 + -14x = -1 + -29 -14x = -1 + -29 Combine like terms: -1 + -29 = -30 -14x = -30 Divide each side by '-14'. x = 2.142857143 Simplifying x = 2.142857143
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