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Simplifying 10x + -24 = 15x + 21 Reorder the terms: -24 + 10x = 15x + 21 Reorder the terms: -24 + 10x = 21 + 15x Solving -24 + 10x = 21 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. -24 + 10x + -15x = 21 + 15x + -15x Combine like terms: 10x + -15x = -5x -24 + -5x = 21 + 15x + -15x Combine like terms: 15x + -15x = 0 -24 + -5x = 21 + 0 -24 + -5x = 21 Add '24' to each side of the equation. -24 + 24 + -5x = 21 + 24 Combine like terms: -24 + 24 = 0 0 + -5x = 21 + 24 -5x = 21 + 24 Combine like terms: 21 + 24 = 45 -5x = 45 Divide each side by '-5'. x = -9 Simplifying x = -9
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