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Simplifying 15x + 24 = 10x + 14 Reorder the terms: 24 + 15x = 10x + 14 Reorder the terms: 24 + 15x = 14 + 10x Solving 24 + 15x = 14 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 24 + 15x + -10x = 14 + 10x + -10x Combine like terms: 15x + -10x = 5x 24 + 5x = 14 + 10x + -10x Combine like terms: 10x + -10x = 0 24 + 5x = 14 + 0 24 + 5x = 14 Add '-24' to each side of the equation. 24 + -24 + 5x = 14 + -24 Combine like terms: 24 + -24 = 0 0 + 5x = 14 + -24 5x = 14 + -24 Combine like terms: 14 + -24 = -10 5x = -10 Divide each side by '5'. x = -2 Simplifying x = -2
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