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