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Simplifying 3x + -2 = 0.5x + 4 Reorder the terms: -2 + 3x = 0.5x + 4 Reorder the terms: -2 + 3x = 4 + 0.5x Solving -2 + 3x = 4 + 0.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.5x' to each side of the equation. -2 + 3x + -0.5x = 4 + 0.5x + -0.5x Combine like terms: 3x + -0.5x = 2.5x -2 + 2.5x = 4 + 0.5x + -0.5x Combine like terms: 0.5x + -0.5x = 0.0 -2 + 2.5x = 4 + 0.0 -2 + 2.5x = 4 Add '2' to each side of the equation. -2 + 2 + 2.5x = 4 + 2 Combine like terms: -2 + 2 = 0 0 + 2.5x = 4 + 2 2.5x = 4 + 2 Combine like terms: 4 + 2 = 6 2.5x = 6 Divide each side by '2.5'. x = 2.4 Simplifying x = 2.4
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