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Simplifying 15x + 21 = 10x + -24 Reorder the terms: 21 + 15x = 10x + -24 Reorder the terms: 21 + 15x = -24 + 10x Solving 21 + 15x = -24 + 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. 21 + 15x + -10x = -24 + 10x + -10x Combine like terms: 15x + -10x = 5x 21 + 5x = -24 + 10x + -10x Combine like terms: 10x + -10x = 0 21 + 5x = -24 + 0 21 + 5x = -24 Add '-21' to each side of the equation. 21 + -21 + 5x = -24 + -21 Combine like terms: 21 + -21 = 0 0 + 5x = -24 + -21 5x = -24 + -21 Combine like terms: -24 + -21 = -45 5x = -45 Divide each side by '5'. x = -9 Simplifying x = -9
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