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Simplifying 3.2x + -7.1 = 6.8 + -1.8x Reorder the terms: -7.1 + 3.2x = 6.8 + -1.8x Solving -7.1 + 3.2x = 6.8 + -1.8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1.8x' to each side of the equation. -7.1 + 3.2x + 1.8x = 6.8 + -1.8x + 1.8x Combine like terms: 3.2x + 1.8x = 5x -7.1 + 5x = 6.8 + -1.8x + 1.8x Combine like terms: -1.8x + 1.8x = 0.0 -7.1 + 5x = 6.8 + 0.0 -7.1 + 5x = 6.8 Add '7.1' to each side of the equation. -7.1 + 7.1 + 5x = 6.8 + 7.1 Combine like terms: -7.1 + 7.1 = 0.0 0.0 + 5x = 6.8 + 7.1 5x = 6.8 + 7.1 Combine like terms: 6.8 + 7.1 = 13.9 5x = 13.9 Divide each side by '5'. x = 2.78 Simplifying x = 2.78
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