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Simplifying 456 = 8x + -8(-1 + 8x) 456 = 8x + (-1 * -8 + 8x * -8) 456 = 8x + (8 + -64x) Reorder the terms: 456 = 8 + 8x + -64x Combine like terms: 8x + -64x = -56x 456 = 8 + -56x Solving 456 = 8 + -56x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '56x' to each side of the equation. 456 + 56x = 8 + -56x + 56x Combine like terms: -56x + 56x = 0 456 + 56x = 8 + 0 456 + 56x = 8 Add '-456' to each side of the equation. 456 + -456 + 56x = 8 + -456 Combine like terms: 456 + -456 = 0 0 + 56x = 8 + -456 56x = 8 + -456 Combine like terms: 8 + -456 = -448 56x = -448 Divide each side by '56'. x = -8 Simplifying x = -8
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