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Simplifying 7(x + 2) + 9(x + 6) = 116 Reorder the terms: 7(2 + x) + 9(x + 6) = 116 (2 * 7 + x * 7) + 9(x + 6) = 116 (14 + 7x) + 9(x + 6) = 116 Reorder the terms: 14 + 7x + 9(6 + x) = 116 14 + 7x + (6 * 9 + x * 9) = 116 14 + 7x + (54 + 9x) = 116 Reorder the terms: 14 + 54 + 7x + 9x = 116 Combine like terms: 14 + 54 = 68 68 + 7x + 9x = 116 Combine like terms: 7x + 9x = 16x 68 + 16x = 116 Solving 68 + 16x = 116 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-68' to each side of the equation. 68 + -68 + 16x = 116 + -68 Combine like terms: 68 + -68 = 0 0 + 16x = 116 + -68 16x = 116 + -68 Combine like terms: 116 + -68 = 48 16x = 48 Divide each side by '16'. x = 3 Simplifying x = 3
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