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Simplifying -456 = -8(1 + 7x) -456 = (1 * -8 + 7x * -8) -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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