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Simplifying 3.4x + 51.8 = 5.3 + -12.1x Reorder the terms: 51.8 + 3.4x = 5.3 + -12.1x Solving 51.8 + 3.4x = 5.3 + -12.1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12.1x' to each side of the equation. 51.8 + 3.4x + 12.1x = 5.3 + -12.1x + 12.1x Combine like terms: 3.4x + 12.1x = 15.5x 51.8 + 15.5x = 5.3 + -12.1x + 12.1x Combine like terms: -12.1x + 12.1x = 0.0 51.8 + 15.5x = 5.3 + 0.0 51.8 + 15.5x = 5.3 Add '-51.8' to each side of the equation. 51.8 + -51.8 + 15.5x = 5.3 + -51.8 Combine like terms: 51.8 + -51.8 = 0.0 0.0 + 15.5x = 5.3 + -51.8 15.5x = 5.3 + -51.8 Combine like terms: 5.3 + -51.8 = -46.5 15.5x = -46.5 Divide each side by '15.5'. x = -3 Simplifying x = -3
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