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Simplifying -256 = 4 + -4(-8x + 1) Reorder the terms: -256 = 4 + -4(1 + -8x) -256 = 4 + (1 * -4 + -8x * -4) -256 = 4 + (-4 + 32x) Combine like terms: 4 + -4 = 0 -256 = 0 + 32x -256 = 32x Solving -256 = 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. -256 + -32x = 32x + -32x Combine like terms: 32x + -32x = 0 -256 + -32x = 0 Add '256' to each side of the equation. -256 + 256 + -32x = 0 + 256 Combine like terms: -256 + 256 = 0 0 + -32x = 0 + 256 -32x = 0 + 256 Combine like terms: 0 + 256 = 256 -32x = 256 Divide each side by '-32'. x = -8 Simplifying x = -8
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