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Simplifying 9(x + 9) + -4x = 29 + -8 Reorder the terms: 9(9 + x) + -4x = 29 + -8 (9 * 9 + x * 9) + -4x = 29 + -8 (81 + 9x) + -4x = 29 + -8 Combine like terms: 9x + -4x = 5x 81 + 5x = 29 + -8 Combine like terms: 29 + -8 = 21 81 + 5x = 21 Solving 81 + 5x = 21 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-81' to each side of the equation. 81 + -81 + 5x = 21 + -81 Combine like terms: 81 + -81 = 0 0 + 5x = 21 + -81 5x = 21 + -81 Combine like terms: 21 + -81 = -60 5x = -60 Divide each side by '5'. x = -12 Simplifying x = -12
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