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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 = -72x 27 + -72x = 5x + 24 Reorder the terms: 27 + -72x = 24 + 5x Solving 27 + -72x = 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 + -72x + -5x = 24 + 5x + -5x Combine like terms: -72x + -5x = -77x 27 + -77x = 24 + 5x + -5x Combine like terms: 5x + -5x = 0 27 + -77x = 24 + 0 27 + -77x = 24 Add '-27' to each side of the equation. 27 + -27 + -77x = 24 + -27 Combine like terms: 27 + -27 = 0 0 + -77x = 24 + -27 -77x = 24 + -27 Combine like terms: 24 + -27 = -3 -77x = -3 Divide each side by '-77'. x = 0.03896103896 Simplifying x = 0.03896103896
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