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Simplifying 6.5x + -5.5 = 9.5 + 1.5x Reorder the terms: -5.5 + 6.5x = 9.5 + 1.5x Solving -5.5 + 6.5x = 9.5 + 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. -5.5 + 6.5x + -1.5x = 9.5 + 1.5x + -1.5x Combine like terms: 6.5x + -1.5x = 5x -5.5 + 5x = 9.5 + 1.5x + -1.5x Combine like terms: 1.5x + -1.5x = 0.0 -5.5 + 5x = 9.5 + 0.0 -5.5 + 5x = 9.5 Add '5.5' to each side of the equation. -5.5 + 5.5 + 5x = 9.5 + 5.5 Combine like terms: -5.5 + 5.5 = 0.0 0.0 + 5x = 9.5 + 5.5 5x = 9.5 + 5.5 Combine like terms: 9.5 + 5.5 = 15 5x = 15 Divide each side by '5'. x = 3 Simplifying x = 3
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