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Simplifying 256 = 8(4x + 12) Reorder the terms: 256 = 8(12 + 4x) 256 = (12 * 8 + 4x * 8) 256 = (96 + 32x) Solving 256 = 96 + 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 = 96 + 32x + -32x Combine like terms: 32x + -32x = 0 256 + -32x = 96 + 0 256 + -32x = 96 Add '-256' to each side of the equation. 256 + -256 + -32x = 96 + -256 Combine like terms: 256 + -256 = 0 0 + -32x = 96 + -256 -32x = 96 + -256 Combine like terms: 96 + -256 = -160 -32x = -160 Divide each side by '-32'. x = 5 Simplifying x = 5
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