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Simplifying 2(x + 5) + 7x = 82 Reorder the terms: 2(5 + x) + 7x = 82 (5 * 2 + x * 2) + 7x = 82 (10 + 2x) + 7x = 82 Combine like terms: 2x + 7x = 9x 10 + 9x = 82 Solving 10 + 9x = 82 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + 9x = 82 + -10 Combine like terms: 10 + -10 = 0 0 + 9x = 82 + -10 9x = 82 + -10 Combine like terms: 82 + -10 = 72 9x = 72 Divide each side by '9'. x = 8 Simplifying x = 8
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