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Simplifying 4.6x + -24 = 2.1x + 6 Reorder the terms: -24 + 4.6x = 2.1x + 6 Reorder the terms: -24 + 4.6x = 6 + 2.1x Solving -24 + 4.6x = 6 + 2.1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2.1x' to each side of the equation. -24 + 4.6x + -2.1x = 6 + 2.1x + -2.1x Combine like terms: 4.6x + -2.1x = 2.5x -24 + 2.5x = 6 + 2.1x + -2.1x Combine like terms: 2.1x + -2.1x = 0.0 -24 + 2.5x = 6 + 0.0 -24 + 2.5x = 6 Add '24' to each side of the equation. -24 + 24 + 2.5x = 6 + 24 Combine like terms: -24 + 24 = 0 0 + 2.5x = 6 + 24 2.5x = 6 + 24 Combine like terms: 6 + 24 = 30 2.5x = 30 Divide each side by '2.5'. x = 12 Simplifying x = 12
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