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Simplifying 2.5x + -5.8 + 7x = 7.5x + -11.2 Reorder the terms: -5.8 + 2.5x + 7x = 7.5x + -11.2 Combine like terms: 2.5x + 7x = 9.5x -5.8 + 9.5x = 7.5x + -11.2 Reorder the terms: -5.8 + 9.5x = -11.2 + 7.5x Solving -5.8 + 9.5x = -11.2 + 7.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7.5x' to each side of the equation. -5.8 + 9.5x + -7.5x = -11.2 + 7.5x + -7.5x Combine like terms: 9.5x + -7.5x = 2x -5.8 + 2x = -11.2 + 7.5x + -7.5x Combine like terms: 7.5x + -7.5x = 0.0 -5.8 + 2x = -11.2 + 0.0 -5.8 + 2x = -11.2 Add '5.8' to each side of the equation. -5.8 + 5.8 + 2x = -11.2 + 5.8 Combine like terms: -5.8 + 5.8 = 0.0 0.0 + 2x = -11.2 + 5.8 2x = -11.2 + 5.8 Combine like terms: -11.2 + 5.8 = -5.4 2x = -5.4 Divide each side by '2'. x = -2.7 Simplifying x = -2.7
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