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Simplifying 5(x + 7) + 7 = 82 Reorder the terms: 5(7 + x) + 7 = 82 (7 * 5 + x * 5) + 7 = 82 (35 + 5x) + 7 = 82 Reorder the terms: 35 + 7 + 5x = 82 Combine like terms: 35 + 7 = 42 42 + 5x = 82 Solving 42 + 5x = 82 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-42' to each side of the equation. 42 + -42 + 5x = 82 + -42 Combine like terms: 42 + -42 = 0 0 + 5x = 82 + -42 5x = 82 + -42 Combine like terms: 82 + -42 = 40 5x = 40 Divide each side by '5'. x = 8 Simplifying x = 8
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