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Simplifying 2[8 + -1(-2x + -4)] = 8x + 32 Reorder the terms: 2[8 + -1(-4 + -2x)] = 8x + 32 2[8 + (-4 * -1 + -2x * -1)] = 8x + 32 2[8 + (4 + 2x)] = 8x + 32 Combine like terms: 8 + 4 = 12 2[12 + 2x] = 8x + 32 [12 * 2 + 2x * 2] = 8x + 32 [24 + 4x] = 8x + 32 Reorder the terms: 24 + 4x = 32 + 8x Solving 24 + 4x = 32 + 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. 24 + 4x + -8x = 32 + 8x + -8x Combine like terms: 4x + -8x = -4x 24 + -4x = 32 + 8x + -8x Combine like terms: 8x + -8x = 0 24 + -4x = 32 + 0 24 + -4x = 32 Add '-24' to each side of the equation. 24 + -24 + -4x = 32 + -24 Combine like terms: 24 + -24 = 0 0 + -4x = 32 + -24 -4x = 32 + -24 Combine like terms: 32 + -24 = 8 -4x = 8 Divide each side by '-4'. x = -2 Simplifying x = -2
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