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Simplifying 2.5x + 41.8 = 11.4 + -12.7x Reorder the terms: 41.8 + 2.5x = 11.4 + -12.7x Solving 41.8 + 2.5x = 11.4 + -12.7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12.7x' to each side of the equation. 41.8 + 2.5x + 12.7x = 11.4 + -12.7x + 12.7x Combine like terms: 2.5x + 12.7x = 15.2x 41.8 + 15.2x = 11.4 + -12.7x + 12.7x Combine like terms: -12.7x + 12.7x = 0.0 41.8 + 15.2x = 11.4 + 0.0 41.8 + 15.2x = 11.4 Add '-41.8' to each side of the equation. 41.8 + -41.8 + 15.2x = 11.4 + -41.8 Combine like terms: 41.8 + -41.8 = 0.0 0.0 + 15.2x = 11.4 + -41.8 15.2x = 11.4 + -41.8 Combine like terms: 11.4 + -41.8 = -30.4 15.2x = -30.4 Divide each side by '15.2'. x = -2 Simplifying x = -2
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