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Simplifying 6.5x + -8.1 = 9.75 + -5.4x Reorder the terms: -8.1 + 6.5x = 9.75 + -5.4x Solving -8.1 + 6.5x = 9.75 + -5.4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5.4x' to each side of the equation. -8.1 + 6.5x + 5.4x = 9.75 + -5.4x + 5.4x Combine like terms: 6.5x + 5.4x = 11.9x -8.1 + 11.9x = 9.75 + -5.4x + 5.4x Combine like terms: -5.4x + 5.4x = 0.0 -8.1 + 11.9x = 9.75 + 0.0 -8.1 + 11.9x = 9.75 Add '8.1' to each side of the equation. -8.1 + 8.1 + 11.9x = 9.75 + 8.1 Combine like terms: -8.1 + 8.1 = 0.0 0.0 + 11.9x = 9.75 + 8.1 11.9x = 9.75 + 8.1 Combine like terms: 9.75 + 8.1 = 17.85 11.9x = 17.85 Divide each side by '11.9'. x = 1.5 Simplifying x = 1.5
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