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Simplifying 6.5x + -5.2 = 34.8 + 1.5x Reorder the terms: -5.2 + 6.5x = 34.8 + 1.5x Solving -5.2 + 6.5x = 34.8 + 1.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.5x' to each side of the equation. -5.2 + 6.5x + -1.5x = 34.8 + 1.5x + -1.5x Combine like terms: 6.5x + -1.5x = 5x -5.2 + 5x = 34.8 + 1.5x + -1.5x Combine like terms: 1.5x + -1.5x = 0.0 -5.2 + 5x = 34.8 + 0.0 -5.2 + 5x = 34.8 Add '5.2' to each side of the equation. -5.2 + 5.2 + 5x = 34.8 + 5.2 Combine like terms: -5.2 + 5.2 = 0.0 0.0 + 5x = 34.8 + 5.2 5x = 34.8 + 5.2 Combine like terms: 34.8 + 5.2 = 40 5x = 40 Divide each side by '5'. x = 8 Simplifying x = 8
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