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