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Simplifying 3x + 2 = -1.5x + 4 Reorder the terms: 2 + 3x = -1.5x + 4 Reorder the terms: 2 + 3x = 4 + -1.5x Solving 2 + 3x = 4 + -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. 2 + 3x + 1.5x = 4 + -1.5x + 1.5x Combine like terms: 3x + 1.5x = 4.5x 2 + 4.5x = 4 + -1.5x + 1.5x Combine like terms: -1.5x + 1.5x = 0.0 2 + 4.5x = 4 + 0.0 2 + 4.5x = 4 Add '-2' to each side of the equation. 2 + -2 + 4.5x = 4 + -2 Combine like terms: 2 + -2 = 0 0 + 4.5x = 4 + -2 4.5x = 4 + -2 Combine like terms: 4 + -2 = 2 4.5x = 2 Divide each side by '4.5'. x = 0.4444444444 Simplifying x = 0.4444444444
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