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