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Simplifying 3x + 0.5 = 2x + 1.5 Reorder the terms: 0.5 + 3x = 2x + 1.5 Reorder the terms: 0.5 + 3x = 1.5 + 2x Solving 0.5 + 3x = 1.5 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 0.5 + 3x + -2x = 1.5 + 2x + -2x Combine like terms: 3x + -2x = 1x 0.5 + 1x = 1.5 + 2x + -2x Combine like terms: 2x + -2x = 0 0.5 + 1x = 1.5 + 0 0.5 + 1x = 1.5 Add '-0.5' to each side of the equation. 0.5 + -0.5 + 1x = 1.5 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + 1x = 1.5 + -0.5 1x = 1.5 + -0.5 Combine like terms: 1.5 + -0.5 = 1 1x = 1 Divide each side by '1'. x = 1 Simplifying x = 1
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