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Simplifying 4.5x + -8 = 6 + -1.5x Reorder the terms: -8 + 4.5x = 6 + -1.5x Solving -8 + 4.5x = 6 + -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. -8 + 4.5x + 1.5x = 6 + -1.5x + 1.5x Combine like terms: 4.5x + 1.5x = 6x -8 + 6x = 6 + -1.5x + 1.5x Combine like terms: -1.5x + 1.5x = 0.0 -8 + 6x = 6 + 0.0 -8 + 6x = 6 Add '8' to each side of the equation. -8 + 8 + 6x = 6 + 8 Combine like terms: -8 + 8 = 0 0 + 6x = 6 + 8 6x = 6 + 8 Combine like terms: 6 + 8 = 14 6x = 14 Divide each side by '6'. x = 2.333333333 Simplifying x = 2.333333333
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