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Simplifying 3x + -1.5 = 0.9 + -1.5x Reorder the terms: -1.5 + 3x = 0.9 + -1.5x Solving -1.5 + 3x = 0.9 + -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. -1.5 + 3x + 1.5x = 0.9 + -1.5x + 1.5x Combine like terms: 3x + 1.5x = 4.5x -1.5 + 4.5x = 0.9 + -1.5x + 1.5x Combine like terms: -1.5x + 1.5x = 0.0 -1.5 + 4.5x = 0.9 + 0.0 -1.5 + 4.5x = 0.9 Add '1.5' to each side of the equation. -1.5 + 1.5 + 4.5x = 0.9 + 1.5 Combine like terms: -1.5 + 1.5 = 0.0 0.0 + 4.5x = 0.9 + 1.5 4.5x = 0.9 + 1.5 Combine like terms: 0.9 + 1.5 = 2.4 4.5x = 2.4 Divide each side by '4.5'. x = 0.5333333333 Simplifying x = 0.5333333333
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