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Simplifying 462 = 7(-8x + 2) Reorder the terms: 462 = 7(2 + -8x) 462 = (2 * 7 + -8x * 7) 462 = (14 + -56x) Solving 462 = 14 + -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. 462 + 56x = 14 + -56x + 56x Combine like terms: -56x + 56x = 0 462 + 56x = 14 + 0 462 + 56x = 14 Add '-462' to each side of the equation. 462 + -462 + 56x = 14 + -462 Combine like terms: 462 + -462 = 0 0 + 56x = 14 + -462 56x = 14 + -462 Combine like terms: 14 + -462 = -448 56x = -448 Divide each side by '56'. x = -8 Simplifying x = -8
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