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Simplifying 24 = -4(1 + 8x) + 4(1 + 2x) 24 = (1 * -4 + 8x * -4) + 4(1 + 2x) 24 = (-4 + -32x) + 4(1 + 2x) 24 = -4 + -32x + (1 * 4 + 2x * 4) 24 = -4 + -32x + (4 + 8x) Reorder the terms: 24 = -4 + 4 + -32x + 8x Combine like terms: -4 + 4 = 0 24 = 0 + -32x + 8x 24 = -32x + 8x Combine like terms: -32x + 8x = -24x 24 = -24x Solving 24 = -24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '24x' to each side of the equation. 24 + 24x = -24x + 24x Combine like terms: -24x + 24x = 0 24 + 24x = 0 Add '-24' to each side of the equation. 24 + -24 + 24x = 0 + -24 Combine like terms: 24 + -24 = 0 0 + 24x = 0 + -24 24x = 0 + -24 Combine like terms: 0 + -24 = -24 24x = -24 Divide each side by '24'. x = -1 Simplifying x = -1
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