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Simplifying 10(1 + x) + (4x + 14) + 22 = 82 (1 * 10 + x * 10) + (4x + 14) + 22 = 82 (10 + 10x) + (4x + 14) + 22 = 82 Reorder the terms: 10 + 10x + (14 + 4x) + 22 = 82 Remove parenthesis around (14 + 4x) 10 + 10x + 14 + 4x + 22 = 82 Reorder the terms: 10 + 14 + 22 + 10x + 4x = 82 Combine like terms: 10 + 14 = 24 24 + 22 + 10x + 4x = 82 Combine like terms: 24 + 22 = 46 46 + 10x + 4x = 82 Combine like terms: 10x + 4x = 14x 46 + 14x = 82 Solving 46 + 14x = 82 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-46' to each side of the equation. 46 + -46 + 14x = 82 + -46 Combine like terms: 46 + -46 = 0 0 + 14x = 82 + -46 14x = 82 + -46 Combine like terms: 82 + -46 = 36 14x = 36 Divide each side by '14'. x = 2.571428571 Simplifying x = 2.571428571
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