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Simplifying 2(x + 4) = 4[x + -1(1 + -1x)] Reorder the terms: 2(4 + x) = 4[x + -1(1 + -1x)] (4 * 2 + x * 2) = 4[x + -1(1 + -1x)] (8 + 2x) = 4[x + -1(1 + -1x)] 8 + 2x = 4[x + (1 * -1 + -1x * -1)] 8 + 2x = 4[x + (-1 + 1x)] Reorder the terms: 8 + 2x = 4[-1 + x + 1x] Combine like terms: x + 1x = 2x 8 + 2x = 4[-1 + 2x] 8 + 2x = [-1 * 4 + 2x * 4] 8 + 2x = [-4 + 8x] Solving 8 + 2x = -4 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 8 + 2x + -8x = -4 + 8x + -8x Combine like terms: 2x + -8x = -6x 8 + -6x = -4 + 8x + -8x Combine like terms: 8x + -8x = 0 8 + -6x = -4 + 0 8 + -6x = -4 Add '-8' to each side of the equation. 8 + -8 + -6x = -4 + -8 Combine like terms: 8 + -8 = 0 0 + -6x = -4 + -8 -6x = -4 + -8 Combine like terms: -4 + -8 = -12 -6x = -12 Divide each side by '-6'. x = 2 Simplifying x = 2
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