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Simplifying 9x + 9(9x + -3) = 5x + 24 Reorder the terms: 9x + 9(-3 + 9x) = 5x + 24 9x + (-3 * 9 + 9x * 9) = 5x + 24 9x + (-27 + 81x) = 5x + 24 Reorder the terms: -27 + 9x + 81x = 5x + 24 Combine like terms: 9x + 81x = 90x -27 + 90x = 5x + 24 Reorder the terms: -27 + 90x = 24 + 5x Solving -27 + 90x = 24 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -27 + 90x + -5x = 24 + 5x + -5x Combine like terms: 90x + -5x = 85x -27 + 85x = 24 + 5x + -5x Combine like terms: 5x + -5x = 0 -27 + 85x = 24 + 0 -27 + 85x = 24 Add '27' to each side of the equation. -27 + 27 + 85x = 24 + 27 Combine like terms: -27 + 27 = 0 0 + 85x = 24 + 27 85x = 24 + 27 Combine like terms: 24 + 27 = 51 85x = 51 Divide each side by '85'. x = 0.6 Simplifying x = 0.6
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