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Simplifying 8 + -4[x + -1(2x + 4)] = 16 Reorder the terms: 8 + -4[x + -1(4 + 2x)] = 16 8 + -4[x + (4 * -1 + 2x * -1)] = 16 8 + -4[x + (-4 + -2x)] = 16 Reorder the terms: 8 + -4[-4 + x + -2x] = 16 Combine like terms: x + -2x = -1x 8 + -4[-4 + -1x] = 16 8 + [-4 * -4 + -1x * -4] = 16 8 + [16 + 4x] = 16 Combine like terms: 8 + 16 = 24 24 + 4x = 16 Solving 24 + 4x = 16 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24' to each side of the equation. 24 + -24 + 4x = 16 + -24 Combine like terms: 24 + -24 = 0 0 + 4x = 16 + -24 4x = 16 + -24 Combine like terms: 16 + -24 = -8 4x = -8 Divide each side by '4'. x = -2 Simplifying x = -2
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