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