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Simplifying 2[-1(x + 1) + 4] = -4 + -1[3(2x + -4) + -3x] Reorder the terms: 2[-1(1 + x) + 4] = -4 + -1[3(2x + -4) + -3x] 2[(1 * -1 + x * -1) + 4] = -4 + -1[3(2x + -4) + -3x] 2[(-1 + -1x) + 4] = -4 + -1[3(2x + -4) + -3x] Reorder the terms: 2[-1 + 4 + -1x] = -4 + -1[3(2x + -4) + -3x] Combine like terms: -1 + 4 = 3 2[3 + -1x] = -4 + -1[3(2x + -4) + -3x] [3 * 2 + -1x * 2] = -4 + -1[3(2x + -4) + -3x] [6 + -2x] = -4 + -1[3(2x + -4) + -3x] Reorder the terms: 6 + -2x = -4 + -1[3(-4 + 2x) + -3x] 6 + -2x = -4 + -1[(-4 * 3 + 2x * 3) + -3x] 6 + -2x = -4 + -1[(-12 + 6x) + -3x] Combine like terms: 6x + -3x = 3x 6 + -2x = -4 + -1[-12 + 3x] 6 + -2x = -4 + [-12 * -1 + 3x * -1] 6 + -2x = -4 + [12 + -3x] Combine like terms: -4 + 12 = 8 6 + -2x = 8 + -3x Solving 6 + -2x = 8 + -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 = 8 + -3x + 3x Combine like terms: -2x + 3x = 1x 6 + 1x = 8 + -3x + 3x Combine like terms: -3x + 3x = 0 6 + 1x = 8 + 0 6 + 1x = 8 Add '-6' to each side of the equation. 6 + -6 + 1x = 8 + -6 Combine like terms: 6 + -6 = 0 0 + 1x = 8 + -6 1x = 8 + -6 Combine like terms: 8 + -6 = 2 1x = 2 Divide each side by '1'. x = 2 Simplifying x = 2
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