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Simplifying -2x + 9 = -5x + 24 Reorder the terms: 9 + -2x = -5x + 24 Reorder the terms: 9 + -2x = 24 + -5x Solving 9 + -2x = 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. 9 + -2x + 5x = 24 + -5x + 5x Combine like terms: -2x + 5x = 3x 9 + 3x = 24 + -5x + 5x Combine like terms: -5x + 5x = 0 9 + 3x = 24 + 0 9 + 3x = 24 Add '-9' to each side of the equation. 9 + -9 + 3x = 24 + -9 Combine like terms: 9 + -9 = 0 0 + 3x = 24 + -9 3x = 24 + -9 Combine like terms: 24 + -9 = 15 3x = 15 Divide each side by '3'. x = 5 Simplifying x = 5
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