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Simplifying 12x + 4[8 + -4(2x + 4)] = 4x + -8 Reorder the terms: 12x + 4[8 + -4(4 + 2x)] = 4x + -8 12x + 4[8 + (4 * -4 + 2x * -4)] = 4x + -8 12x + 4[8 + (-16 + -8x)] = 4x + -8 Combine like terms: 8 + -16 = -8 12x + 4[-8 + -8x] = 4x + -8 12x + [-8 * 4 + -8x * 4] = 4x + -8 12x + [-32 + -32x] = 4x + -8 Reorder the terms: -32 + 12x + -32x = 4x + -8 Combine like terms: 12x + -32x = -20x -32 + -20x = 4x + -8 Reorder the terms: -32 + -20x = -8 + 4x Solving -32 + -20x = -8 + 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. -32 + -20x + -4x = -8 + 4x + -4x Combine like terms: -20x + -4x = -24x -32 + -24x = -8 + 4x + -4x Combine like terms: 4x + -4x = 0 -32 + -24x = -8 + 0 -32 + -24x = -8 Add '32' to each side of the equation. -32 + 32 + -24x = -8 + 32 Combine like terms: -32 + 32 = 0 0 + -24x = -8 + 32 -24x = -8 + 32 Combine like terms: -8 + 32 = 24 -24x = 24 Divide each side by '-24'. x = -1 Simplifying x = -1
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