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