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Simplifying 4x + -1[2x + -1(3x + -1)] = 6 + -2x Reorder the terms: 4x + -1[2x + -1(-1 + 3x)] = 6 + -2x 4x + -1[2x + (-1 * -1 + 3x * -1)] = 6 + -2x 4x + -1[2x + (1 + -3x)] = 6 + -2x Reorder the terms: 4x + -1[1 + 2x + -3x] = 6 + -2x Combine like terms: 2x + -3x = -1x 4x + -1[1 + -1x] = 6 + -2x 4x + [1 * -1 + -1x * -1] = 6 + -2x 4x + [-1 + 1x] = 6 + -2x Reorder the terms: -1 + 4x + 1x = 6 + -2x Combine like terms: 4x + 1x = 5x -1 + 5x = 6 + -2x Solving -1 + 5x = 6 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -1 + 5x + 2x = 6 + -2x + 2x Combine like terms: 5x + 2x = 7x -1 + 7x = 6 + -2x + 2x Combine like terms: -2x + 2x = 0 -1 + 7x = 6 + 0 -1 + 7x = 6 Add '1' to each side of the equation. -1 + 1 + 7x = 6 + 1 Combine like terms: -1 + 1 = 0 0 + 7x = 6 + 1 7x = 6 + 1 Combine like terms: 6 + 1 = 7 7x = 7 Divide each side by '7'. x = 1 Simplifying x = 1
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