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Simplifying -1[2 + -1(3 + -1x)] = 4x + -6(6 + x) -1[2 + (3 * -1 + -1x * -1)] = 4x + -6(6 + x) -1[2 + (-3 + 1x)] = 4x + -6(6 + x) Combine like terms: 2 + -3 = -1 -1[-1 + 1x] = 4x + -6(6 + x) [-1 * -1 + 1x * -1] = 4x + -6(6 + x) [1 + -1x] = 4x + -6(6 + x) 1 + -1x = 4x + (6 * -6 + x * -6) 1 + -1x = 4x + (-36 + -6x) Reorder the terms: 1 + -1x = -36 + 4x + -6x Combine like terms: 4x + -6x = -2x 1 + -1x = -36 + -2x Solving 1 + -1x = -36 + -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 + -1x + 2x = -36 + -2x + 2x Combine like terms: -1x + 2x = 1x 1 + 1x = -36 + -2x + 2x Combine like terms: -2x + 2x = 0 1 + 1x = -36 + 0 1 + 1x = -36 Add '-1' to each side of the equation. 1 + -1 + 1x = -36 + -1 Combine like terms: 1 + -1 = 0 0 + 1x = -36 + -1 1x = -36 + -1 Combine like terms: -36 + -1 = -37 1x = -37 Divide each side by '1'. x = -37 Simplifying x = -37
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