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Simplifying 9(4x + 5) + -20 = 9x + 9 Reorder the terms: 9(5 + 4x) + -20 = 9x + 9 (5 * 9 + 4x * 9) + -20 = 9x + 9 (45 + 36x) + -20 = 9x + 9 Reorder the terms: 45 + -20 + 36x = 9x + 9 Combine like terms: 45 + -20 = 25 25 + 36x = 9x + 9 Reorder the terms: 25 + 36x = 9 + 9x Solving 25 + 36x = 9 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 25 + 36x + -9x = 9 + 9x + -9x Combine like terms: 36x + -9x = 27x 25 + 27x = 9 + 9x + -9x Combine like terms: 9x + -9x = 0 25 + 27x = 9 + 0 25 + 27x = 9 Add '-25' to each side of the equation. 25 + -25 + 27x = 9 + -25 Combine like terms: 25 + -25 = 0 0 + 27x = 9 + -25 27x = 9 + -25 Combine like terms: 9 + -25 = -16 27x = -16 Divide each side by '27'. x = -0.5925925926 Simplifying x = -0.5925925926
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