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