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Simplifying -1[3x + -1(11x + 3)] = 3(7x + 2) Reorder the terms: -1[3x + -1(3 + 11x)] = 3(7x + 2) -1[3x + (3 * -1 + 11x * -1)] = 3(7x + 2) -1[3x + (-3 + -11x)] = 3(7x + 2) Reorder the terms: -1[-3 + 3x + -11x] = 3(7x + 2) Combine like terms: 3x + -11x = -8x -1[-3 + -8x] = 3(7x + 2) [-3 * -1 + -8x * -1] = 3(7x + 2) [3 + 8x] = 3(7x + 2) Reorder the terms: 3 + 8x = 3(2 + 7x) 3 + 8x = (2 * 3 + 7x * 3) 3 + 8x = (6 + 21x) Solving 3 + 8x = 6 + 21x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-21x' to each side of the equation. 3 + 8x + -21x = 6 + 21x + -21x Combine like terms: 8x + -21x = -13x 3 + -13x = 6 + 21x + -21x Combine like terms: 21x + -21x = 0 3 + -13x = 6 + 0 3 + -13x = 6 Add '-3' to each side of the equation. 3 + -3 + -13x = 6 + -3 Combine like terms: 3 + -3 = 0 0 + -13x = 6 + -3 -13x = 6 + -3 Combine like terms: 6 + -3 = 3 -13x = 3 Divide each side by '-13'. x = -0.2307692308 Simplifying x = -0.2307692308
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