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