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Simplifying x + 3 = 1.5x + 2 Reorder the terms: 3 + x = 1.5x + 2 Reorder the terms: 3 + x = 2 + 1.5x Solving 3 + x = 2 + 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. 3 + x + -1.5x = 2 + 1.5x + -1.5x Combine like terms: x + -1.5x = -0.5x 3 + -0.5x = 2 + 1.5x + -1.5x Combine like terms: 1.5x + -1.5x = 0.0 3 + -0.5x = 2 + 0.0 3 + -0.5x = 2 Add '-3' to each side of the equation. 3 + -3 + -0.5x = 2 + -3 Combine like terms: 3 + -3 = 0 0 + -0.5x = 2 + -3 -0.5x = 2 + -3 Combine like terms: 2 + -3 = -1 -0.5x = -1 Divide each side by '-0.5'. x = 2 Simplifying x = 2
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