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Simplifying x + -1[5 + 3x + -1[5x + -1(6 + x)]] = -3 x + -1[5 + 3x + -1[5x + (6 * -1 + x * -1)]] = -3 x + -1[5 + 3x + -1[5x + (-6 + -1x)]] = -3 Reorder the terms: x + -1[5 + 3x + -1[-6 + 5x + -1x]] = -3 Combine like terms: 5x + -1x = 4x x + -1[5 + 3x + -1[-6 + 4x]] = -3 x + -1[5 + 3x + [-6 * -1 + 4x * -1]] = -3 x + -1[5 + 3x + [6 + -4x]] = -3 Reorder the terms: x + -1[5 + 6 + 3x + -4x] = -3 Combine like terms: 5 + 6 = 11 x + -1[11 + 3x + -4x] = -3 Combine like terms: 3x + -4x = -1x x + -1[11 + -1x] = -3 x + [11 * -1 + -1x * -1] = -3 x + [-11 + 1x] = -3 Reorder the terms: -11 + x + 1x = -3 Combine like terms: x + 1x = 2x -11 + 2x = -3 Solving -11 + 2x = -3 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '11' to each side of the equation. -11 + 11 + 2x = -3 + 11 Combine like terms: -11 + 11 = 0 0 + 2x = -3 + 11 2x = -3 + 11 Combine like terms: -3 + 11 = 8 2x = 8 Divide each side by '2'. x = 4 Simplifying x = 4
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