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Simplifying 3x + -9 = 1.5x + 6 Reorder the terms: -9 + 3x = 1.5x + 6 Reorder the terms: -9 + 3x = 6 + 1.5x Solving -9 + 3x = 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. -9 + 3x + -1.5x = 6 + 1.5x + -1.5x Combine like terms: 3x + -1.5x = 1.5x -9 + 1.5x = 6 + 1.5x + -1.5x Combine like terms: 1.5x + -1.5x = 0.0 -9 + 1.5x = 6 + 0.0 -9 + 1.5x = 6 Add '9' to each side of the equation. -9 + 9 + 1.5x = 6 + 9 Combine like terms: -9 + 9 = 0 0 + 1.5x = 6 + 9 1.5x = 6 + 9 Combine like terms: 6 + 9 = 15 1.5x = 15 Divide each side by '1.5'. x = 10 Simplifying x = 10
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