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Simplifying 82 = 2x + 3(x + 9) Reorder the terms: 82 = 2x + 3(9 + x) 82 = 2x + (9 * 3 + x * 3) 82 = 2x + (27 + 3x) Reorder the terms: 82 = 27 + 2x + 3x Combine like terms: 2x + 3x = 5x 82 = 27 + 5x Solving 82 = 27 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 82 + -5x = 27 + 5x + -5x Combine like terms: 5x + -5x = 0 82 + -5x = 27 + 0 82 + -5x = 27 Add '-82' to each side of the equation. 82 + -82 + -5x = 27 + -82 Combine like terms: 82 + -82 = 0 0 + -5x = 27 + -82 -5x = 27 + -82 Combine like terms: 27 + -82 = -55 -5x = -55 Divide each side by '-5'. x = 11 Simplifying x = 11
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