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Simplifying 9(x + 9) = 2x + 116 Reorder the terms: 9(9 + x) = 2x + 116 (9 * 9 + x * 9) = 2x + 116 (81 + 9x) = 2x + 116 Reorder the terms: 81 + 9x = 116 + 2x Solving 81 + 9x = 116 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 81 + 9x + -2x = 116 + 2x + -2x Combine like terms: 9x + -2x = 7x 81 + 7x = 116 + 2x + -2x Combine like terms: 2x + -2x = 0 81 + 7x = 116 + 0 81 + 7x = 116 Add '-81' to each side of the equation. 81 + -81 + 7x = 116 + -81 Combine like terms: 81 + -81 = 0 0 + 7x = 116 + -81 7x = 116 + -81 Combine like terms: 116 + -81 = 35 7x = 35 Divide each side by '7'. x = 5 Simplifying x = 5
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