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Simplifying 3.8x + 54.1 = 7.6 + -11.7x Reorder the terms: 54.1 + 3.8x = 7.6 + -11.7x Solving 54.1 + 3.8x = 7.6 + -11.7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '11.7x' to each side of the equation. 54.1 + 3.8x + 11.7x = 7.6 + -11.7x + 11.7x Combine like terms: 3.8x + 11.7x = 15.5x 54.1 + 15.5x = 7.6 + -11.7x + 11.7x Combine like terms: -11.7x + 11.7x = 0.0 54.1 + 15.5x = 7.6 + 0.0 54.1 + 15.5x = 7.6 Add '-54.1' to each side of the equation. 54.1 + -54.1 + 15.5x = 7.6 + -54.1 Combine like terms: 54.1 + -54.1 = 0.0 0.0 + 15.5x = 7.6 + -54.1 15.5x = 7.6 + -54.1 Combine like terms: 7.6 + -54.1 = -46.5 15.5x = -46.5 Divide each side by '15.5'. x = -3 Simplifying x = -3
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