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Simplifying 5x + 4 = 7(n + 1) + -2x Reorder the terms: 4 + 5x = 7(n + 1) + -2x Reorder the terms: 4 + 5x = 7(1 + n) + -2x 4 + 5x = (1 * 7 + n * 7) + -2x 4 + 5x = (7 + 7n) + -2x Solving 4 + 5x = 7 + 7n + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 4 + 5x + 2x = 7 + 7n + -2x + 2x Combine like terms: 5x + 2x = 7x 4 + 7x = 7 + 7n + -2x + 2x Combine like terms: -2x + 2x = 0 4 + 7x = 7 + 7n + 0 4 + 7x = 7 + 7n Add '-4' to each side of the equation. 4 + -4 + 7x = 7 + -4 + 7n Combine like terms: 4 + -4 = 0 0 + 7x = 7 + -4 + 7n 7x = 7 + -4 + 7n Combine like terms: 7 + -4 = 3 7x = 3 + 7n Divide each side by '7'. x = 0.4285714286 + n Simplifying x = 0.4285714286 + n
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