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Simplifying 10x + -20 + -15x + 45 = 24 + -12x Reorder the terms: -20 + 45 + 10x + -15x = 24 + -12x Combine like terms: -20 + 45 = 25 25 + 10x + -15x = 24 + -12x Combine like terms: 10x + -15x = -5x 25 + -5x = 24 + -12x Solving 25 + -5x = 24 + -12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12x' to each side of the equation. 25 + -5x + 12x = 24 + -12x + 12x Combine like terms: -5x + 12x = 7x 25 + 7x = 24 + -12x + 12x Combine like terms: -12x + 12x = 0 25 + 7x = 24 + 0 25 + 7x = 24 Add '-25' to each side of the equation. 25 + -25 + 7x = 24 + -25 Combine like terms: 25 + -25 = 0 0 + 7x = 24 + -25 7x = 24 + -25 Combine like terms: 24 + -25 = -1 7x = -1 Divide each side by '7'. x = -0.1428571429 Simplifying x = -0.1428571429
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