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Simplifying 24 + 8x = -12x + -51 Reorder the terms: 24 + 8x = -51 + -12x Solving 24 + 8x = -51 + -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. 24 + 8x + 12x = -51 + -12x + 12x Combine like terms: 8x + 12x = 20x 24 + 20x = -51 + -12x + 12x Combine like terms: -12x + 12x = 0 24 + 20x = -51 + 0 24 + 20x = -51 Add '-24' to each side of the equation. 24 + -24 + 20x = -51 + -24 Combine like terms: 24 + -24 = 0 0 + 20x = -51 + -24 20x = -51 + -24 Combine like terms: -51 + -24 = -75 20x = -75 Divide each side by '20'. x = -3.75 Simplifying x = -3.75
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