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Simplifying 2.7x + 53.8 = 25.4 + -11.5x Reorder the terms: 53.8 + 2.7x = 25.4 + -11.5x Solving 53.8 + 2.7x = 25.4 + -11.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '11.5x' to each side of the equation. 53.8 + 2.7x + 11.5x = 25.4 + -11.5x + 11.5x Combine like terms: 2.7x + 11.5x = 14.2x 53.8 + 14.2x = 25.4 + -11.5x + 11.5x Combine like terms: -11.5x + 11.5x = 0.0 53.8 + 14.2x = 25.4 + 0.0 53.8 + 14.2x = 25.4 Add '-53.8' to each side of the equation. 53.8 + -53.8 + 14.2x = 25.4 + -53.8 Combine like terms: 53.8 + -53.8 = 0.0 0.0 + 14.2x = 25.4 + -53.8 14.2x = 25.4 + -53.8 Combine like terms: 25.4 + -53.8 = -28.4 14.2x = -28.4 Divide each side by '14.2'. x = -2 Simplifying x = -2
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