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