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Simplifying 3x + -5 = 8.5 + -1.5x Reorder the terms: -5 + 3x = 8.5 + -1.5x Solving -5 + 3x = 8.5 + -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 + 3x + 1.5x = 8.5 + -1.5x + 1.5x Combine like terms: 3x + 1.5x = 4.5x -5 + 4.5x = 8.5 + -1.5x + 1.5x Combine like terms: -1.5x + 1.5x = 0.0 -5 + 4.5x = 8.5 + 0.0 -5 + 4.5x = 8.5 Add '5' to each side of the equation. -5 + 5 + 4.5x = 8.5 + 5 Combine like terms: -5 + 5 = 0 0 + 4.5x = 8.5 + 5 4.5x = 8.5 + 5 Combine like terms: 8.5 + 5 = 13.5 4.5x = 13.5 Divide each side by '4.5'. x = 3 Simplifying x = 3
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