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Simplifying 1 + 2x + -1[3x + -1(4x + -5)] = 11x + 2 Reorder the terms: 1 + 2x + -1[3x + -1(-5 + 4x)] = 11x + 2 1 + 2x + -1[3x + (-5 * -1 + 4x * -1)] = 11x + 2 1 + 2x + -1[3x + (5 + -4x)] = 11x + 2 Reorder the terms: 1 + 2x + -1[5 + 3x + -4x] = 11x + 2 Combine like terms: 3x + -4x = -1x 1 + 2x + -1[5 + -1x] = 11x + 2 1 + 2x + [5 * -1 + -1x * -1] = 11x + 2 1 + 2x + [-5 + 1x] = 11x + 2 Reorder the terms: 1 + -5 + 2x + 1x = 11x + 2 Combine like terms: 1 + -5 = -4 -4 + 2x + 1x = 11x + 2 Combine like terms: 2x + 1x = 3x -4 + 3x = 11x + 2 Reorder the terms: -4 + 3x = 2 + 11x Solving -4 + 3x = 2 + 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. -4 + 3x + -11x = 2 + 11x + -11x Combine like terms: 3x + -11x = -8x -4 + -8x = 2 + 11x + -11x Combine like terms: 11x + -11x = 0 -4 + -8x = 2 + 0 -4 + -8x = 2 Add '4' to each side of the equation. -4 + 4 + -8x = 2 + 4 Combine like terms: -4 + 4 = 0 0 + -8x = 2 + 4 -8x = 2 + 4 Combine like terms: 2 + 4 = 6 -8x = 6 Divide each side by '-8'. x = -0.75 Simplifying x = -0.75
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