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Simplifying 5.2x + -5.8 + 8x = 8.2x + -19.3 Reorder the terms: -5.8 + 5.2x + 8x = 8.2x + -19.3 Combine like terms: 5.2x + 8x = 13.2x -5.8 + 13.2x = 8.2x + -19.3 Reorder the terms: -5.8 + 13.2x = -19.3 + 8.2x Solving -5.8 + 13.2x = -19.3 + 8.2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8.2x' to each side of the equation. -5.8 + 13.2x + -8.2x = -19.3 + 8.2x + -8.2x Combine like terms: 13.2x + -8.2x = 5x -5.8 + 5x = -19.3 + 8.2x + -8.2x Combine like terms: 8.2x + -8.2x = 0.0 -5.8 + 5x = -19.3 + 0.0 -5.8 + 5x = -19.3 Add '5.8' to each side of the equation. -5.8 + 5.8 + 5x = -19.3 + 5.8 Combine like terms: -5.8 + 5.8 = 0.0 0.0 + 5x = -19.3 + 5.8 5x = -19.3 + 5.8 Combine like terms: -19.3 + 5.8 = -13.5 5x = -13.5 Divide each side by '5'. x = -2.7 Simplifying x = -2.7
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