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Simplifying -2x + 4(x + -5) + -1 + -1[-3x + 6(1 + -1x)] = -11 Reorder the terms: -2x + 4(-5 + x) + -1 + -1[-3x + 6(1 + -1x)] = -11 -2x + (-5 * 4 + x * 4) + -1 + -1[-3x + 6(1 + -1x)] = -11 -2x + (-20 + 4x) + -1 + -1[-3x + 6(1 + -1x)] = -11 -2x + -20 + 4x + -1 + -1[-3x + (1 * 6 + -1x * 6)] = -11 -2x + -20 + 4x + -1 + -1[-3x + (6 + -6x)] = -11 Reorder the terms: -2x + -20 + 4x + -1 + -1[6 + -3x + -6x] = -11 Combine like terms: -3x + -6x = -9x -2x + -20 + 4x + -1 + -1[6 + -9x] = -11 -2x + -20 + 4x + -1 + [6 * -1 + -9x * -1] = -11 -2x + -20 + 4x + -1 + [-6 + 9x] = -11 Reorder the terms: -20 + -1 + -6 + -2x + 4x + 9x = -11 Combine like terms: -20 + -1 = -21 -21 + -6 + -2x + 4x + 9x = -11 Combine like terms: -21 + -6 = -27 -27 + -2x + 4x + 9x = -11 Combine like terms: -2x + 4x = 2x -27 + 2x + 9x = -11 Combine like terms: 2x + 9x = 11x -27 + 11x = -11 Solving -27 + 11x = -11 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '27' to each side of the equation. -27 + 27 + 11x = -11 + 27 Combine like terms: -27 + 27 = 0 0 + 11x = -11 + 27 11x = -11 + 27 Combine like terms: -11 + 27 = 16 11x = 16 Divide each side by '11'. x = 1.454545455 Simplifying x = 1.454545455
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