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