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Simplifying 24 = 0.5x + -9.2 + -2.1x Reorder the terms: 24 = -9.2 + 0.5x + -2.1x Combine like terms: 0.5x + -2.1x = -1.6x 24 = -9.2 + -1.6x Solving 24 = -9.2 + -1.6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1.6x' to each side of the equation. 24 + 1.6x = -9.2 + -1.6x + 1.6x Combine like terms: -1.6x + 1.6x = 0.0 24 + 1.6x = -9.2 + 0.0 24 + 1.6x = -9.2 Add '-24' to each side of the equation. 24 + -24 + 1.6x = -9.2 + -24 Combine like terms: 24 + -24 = 0 0 + 1.6x = -9.2 + -24 1.6x = -9.2 + -24 Combine like terms: -9.2 + -24 = -33.2 1.6x = -33.2 Divide each side by '1.6'. x = -20.75 Simplifying x = -20.75
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