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Simplifying 4.5x + -2.7 + -1.4x = 8.1 + -2.5x Reorder the terms: -2.7 + 4.5x + -1.4x = 8.1 + -2.5x Combine like terms: 4.5x + -1.4x = 3.1x -2.7 + 3.1x = 8.1 + -2.5x Solving -2.7 + 3.1x = 8.1 + -2.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2.5x' to each side of the equation. -2.7 + 3.1x + 2.5x = 8.1 + -2.5x + 2.5x Combine like terms: 3.1x + 2.5x = 5.6x -2.7 + 5.6x = 8.1 + -2.5x + 2.5x Combine like terms: -2.5x + 2.5x = 0.0 -2.7 + 5.6x = 8.1 + 0.0 -2.7 + 5.6x = 8.1 Add '2.7' to each side of the equation. -2.7 + 2.7 + 5.6x = 8.1 + 2.7 Combine like terms: -2.7 + 2.7 = 0.0 0.0 + 5.6x = 8.1 + 2.7 5.6x = 8.1 + 2.7 Combine like terms: 8.1 + 2.7 = 10.8 5.6x = 10.8 Divide each side by '5.6'. x = 1.928571429 Simplifying x = 1.928571429
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