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Simplifying 2x + 9 = -3x + 24 Reorder the terms: 9 + 2x = -3x + 24 Reorder the terms: 9 + 2x = 24 + -3x Solving 9 + 2x = 24 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 9 + 2x + 3x = 24 + -3x + 3x Combine like terms: 2x + 3x = 5x 9 + 5x = 24 + -3x + 3x Combine like terms: -3x + 3x = 0 9 + 5x = 24 + 0 9 + 5x = 24 Add '-9' to each side of the equation. 9 + -9 + 5x = 24 + -9 Combine like terms: 9 + -9 = 0 0 + 5x = 24 + -9 5x = 24 + -9 Combine like terms: 24 + -9 = 15 5x = 15 Divide each side by '5'. x = 3 Simplifying x = 3
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