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Simplifying -1[2x + -1(11x + 3)] = 3 + (8x + 1) Reorder the terms: -1[2x + -1(3 + 11x)] = 3 + (8x + 1) -1[2x + (3 * -1 + 11x * -1)] = 3 + (8x + 1) -1[2x + (-3 + -11x)] = 3 + (8x + 1) Reorder the terms: -1[-3 + 2x + -11x] = 3 + (8x + 1) Combine like terms: 2x + -11x = -9x -1[-3 + -9x] = 3 + (8x + 1) [-3 * -1 + -9x * -1] = 3 + (8x + 1) [3 + 9x] = 3 + (8x + 1) Reorder the terms: 3 + 9x = 3 + (1 + 8x) Remove parenthesis around (1 + 8x) 3 + 9x = 3 + 1 + 8x Combine like terms: 3 + 1 = 4 3 + 9x = 4 + 8x Solving 3 + 9x = 4 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 3 + 9x + -8x = 4 + 8x + -8x Combine like terms: 9x + -8x = 1x 3 + 1x = 4 + 8x + -8x Combine like terms: 8x + -8x = 0 3 + 1x = 4 + 0 3 + 1x = 4 Add '-3' to each side of the equation. 3 + -3 + 1x = 4 + -3 Combine like terms: 3 + -3 = 0 0 + 1x = 4 + -3 1x = 4 + -3 Combine like terms: 4 + -3 = 1 1x = 1 Divide each side by '1'. x = 1 Simplifying x = 1
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