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Simplifying (2x + 82) = (7x + 7) Reorder the terms: (82 + 2x) = (7x + 7) Remove parenthesis around (82 + 2x) 82 + 2x = (7x + 7) Reorder the terms: 82 + 2x = (7 + 7x) Remove parenthesis around (7 + 7x) 82 + 2x = 7 + 7x Solving 82 + 2x = 7 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 82 + 2x + -7x = 7 + 7x + -7x Combine like terms: 2x + -7x = -5x 82 + -5x = 7 + 7x + -7x Combine like terms: 7x + -7x = 0 82 + -5x = 7 + 0 82 + -5x = 7 Add '-82' to each side of the equation. 82 + -82 + -5x = 7 + -82 Combine like terms: 82 + -82 = 0 0 + -5x = 7 + -82 -5x = 7 + -82 Combine like terms: 7 + -82 = -75 -5x = -75 Divide each side by '-5'. x = 15 Simplifying x = 15
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