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Simplifying -1[4x + -1[-2x + -1(3x + 6)]] = 4 + -1[-1x + (2x + -1)] Reorder the terms: -1[4x + -1[-2x + -1(6 + 3x)]] = 4 + -1[-1x + (2x + -1)] -1[4x + -1[-2x + (6 * -1 + 3x * -1)]] = 4 + -1[-1x + (2x + -1)] -1[4x + -1[-2x + (-6 + -3x)]] = 4 + -1[-1x + (2x + -1)] Reorder the terms: -1[4x + -1[-6 + -2x + -3x]] = 4 + -1[-1x + (2x + -1)] Combine like terms: -2x + -3x = -5x -1[4x + -1[-6 + -5x]] = 4 + -1[-1x + (2x + -1)] -1[4x + [-6 * -1 + -5x * -1]] = 4 + -1[-1x + (2x + -1)] -1[4x + [6 + 5x]] = 4 + -1[-1x + (2x + -1)] Reorder the terms: -1[6 + 4x + 5x] = 4 + -1[-1x + (2x + -1)] Combine like terms: 4x + 5x = 9x -1[6 + 9x] = 4 + -1[-1x + (2x + -1)] [6 * -1 + 9x * -1] = 4 + -1[-1x + (2x + -1)] [-6 + -9x] = 4 + -1[-1x + (2x + -1)] Reorder the terms: -6 + -9x = 4 + -1[-1x + (-1 + 2x)] Remove parenthesis around (-1 + 2x) -6 + -9x = 4 + -1[-1x + -1 + 2x] Reorder the terms: -6 + -9x = 4 + -1[-1 + -1x + 2x] Combine like terms: -1x + 2x = 1x -6 + -9x = 4 + -1[-1 + 1x] -6 + -9x = 4 + [-1 * -1 + 1x * -1] -6 + -9x = 4 + [1 + -1x] Combine like terms: 4 + 1 = 5 -6 + -9x = 5 + -1x Solving -6 + -9x = 5 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -6 + -9x + x = 5 + -1x + x Combine like terms: -9x + x = -8x -6 + -8x = 5 + -1x + x Combine like terms: -1x + x = 0 -6 + -8x = 5 + 0 -6 + -8x = 5 Add '6' to each side of the equation. -6 + 6 + -8x = 5 + 6 Combine like terms: -6 + 6 = 0 0 + -8x = 5 + 6 -8x = 5 + 6 Combine like terms: 5 + 6 = 11 -8x = 11 Divide each side by '-8'. x = -1.375 Simplifying x = -1.375
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