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