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Simplifying (7x + 5) + (9x + 2) = 81 Reorder the terms: (5 + 7x) + (9x + 2) = 81 Remove parenthesis around (5 + 7x) 5 + 7x + (9x + 2) = 81 Reorder the terms: 5 + 7x + (2 + 9x) = 81 Remove parenthesis around (2 + 9x) 5 + 7x + 2 + 9x = 81 Reorder the terms: 5 + 2 + 7x + 9x = 81 Combine like terms: 5 + 2 = 7 7 + 7x + 9x = 81 Combine like terms: 7x + 9x = 16x 7 + 16x = 81 Solving 7 + 16x = 81 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 16x = 81 + -7 Combine like terms: 7 + -7 = 0 0 + 16x = 81 + -7 16x = 81 + -7 Combine like terms: 81 + -7 = 74 16x = 74 Divide each side by '16'. x = 4.625 Simplifying x = 4.625
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