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Simplifying 8(x + 5) + 2 = 82 Reorder the terms: 8(5 + x) + 2 = 82 (5 * 8 + x * 8) + 2 = 82 (40 + 8x) + 2 = 82 Reorder the terms: 40 + 2 + 8x = 82 Combine like terms: 40 + 2 = 42 42 + 8x = 82 Solving 42 + 8x = 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 + 8x = 82 + -42 Combine like terms: 42 + -42 = 0 0 + 8x = 82 + -42 8x = 82 + -42 Combine like terms: 82 + -42 = 40 8x = 40 Divide each side by '8'. x = 5 Simplifying x = 5
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