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