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Simplifying 8x + 12 = 2(1 + 5n) Reorder the terms: 12 + 8x = 2(1 + 5n) 12 + 8x = (1 * 2 + 5n * 2) 12 + 8x = (2 + 10n) Solving 12 + 8x = 2 + 10n Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + 8x = 2 + -12 + 10n Combine like terms: 12 + -12 = 0 0 + 8x = 2 + -12 + 10n 8x = 2 + -12 + 10n Combine like terms: 2 + -12 = -10 8x = -10 + 10n Divide each side by '8'. x = -1.25 + 1.25n Simplifying x = -1.25 + 1.25n
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