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Simplifying -268 = 4 + -4(8x + 4) Reorder the terms: -268 = 4 + -4(4 + 8x) -268 = 4 + (4 * -4 + 8x * -4) -268 = 4 + (-16 + -32x) Combine like terms: 4 + -16 = -12 -268 = -12 + -32x Solving -268 = -12 + -32x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '32x' to each side of the equation. -268 + 32x = -12 + -32x + 32x Combine like terms: -32x + 32x = 0 -268 + 32x = -12 + 0 -268 + 32x = -12 Add '268' to each side of the equation. -268 + 268 + 32x = -12 + 268 Combine like terms: -268 + 268 = 0 0 + 32x = -12 + 268 32x = -12 + 268 Combine like terms: -12 + 268 = 256 32x = 256 Divide each side by '32'. x = 8 Simplifying x = 8
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