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Simplifying 6.5x + -5.25 = 9.75 + -3.5x Reorder the terms: -5.25 + 6.5x = 9.75 + -3.5x Solving -5.25 + 6.5x = 9.75 + -3.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3.5x' to each side of the equation. -5.25 + 6.5x + 3.5x = 9.75 + -3.5x + 3.5x Combine like terms: 6.5x + 3.5x = 10x -5.25 + 10x = 9.75 + -3.5x + 3.5x Combine like terms: -3.5x + 3.5x = 0.0 -5.25 + 10x = 9.75 + 0.0 -5.25 + 10x = 9.75 Add '5.25' to each side of the equation. -5.25 + 5.25 + 10x = 9.75 + 5.25 Combine like terms: -5.25 + 5.25 = 0.00 0.00 + 10x = 9.75 + 5.25 10x = 9.75 + 5.25 Combine like terms: 9.75 + 5.25 = 15 10x = 15 Divide each side by '10'. x = 1.5 Simplifying x = 1.5
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