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Simplifying 456 = -8(8x + 7) Reorder the terms: 456 = -8(7 + 8x) 456 = (7 * -8 + 8x * -8) 456 = (-56 + -64x) Solving 456 = -56 + -64x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '64x' to each side of the equation. 456 + 64x = -56 + -64x + 64x Combine like terms: -64x + 64x = 0 456 + 64x = -56 + 0 456 + 64x = -56 Add '-456' to each side of the equation. 456 + -456 + 64x = -56 + -456 Combine like terms: 456 + -456 = 0 0 + 64x = -56 + -456 64x = -56 + -456 Combine like terms: -56 + -456 = -512 64x = -512 Divide each side by '64'. x = -8 Simplifying x = -8
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