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Simplifying 4.6x + 56.8 = 10.3 + -10.9x Reorder the terms: 56.8 + 4.6x = 10.3 + -10.9x Solving 56.8 + 4.6x = 10.3 + -10.9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10.9x' to each side of the equation. 56.8 + 4.6x + 10.9x = 10.3 + -10.9x + 10.9x Combine like terms: 4.6x + 10.9x = 15.5x 56.8 + 15.5x = 10.3 + -10.9x + 10.9x Combine like terms: -10.9x + 10.9x = 0.0 56.8 + 15.5x = 10.3 + 0.0 56.8 + 15.5x = 10.3 Add '-56.8' to each side of the equation. 56.8 + -56.8 + 15.5x = 10.3 + -56.8 Combine like terms: 56.8 + -56.8 = 0.0 0.0 + 15.5x = 10.3 + -56.8 15.5x = 10.3 + -56.8 Combine like terms: 10.3 + -56.8 = -46.5 15.5x = -46.5 Divide each side by '15.5'. x = -3 Simplifying x = -3
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