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Simplifying 0.5x + 3 = 3x + 2.5 Reorder the terms: 3 + 0.5x = 3x + 2.5 Reorder the terms: 3 + 0.5x = 2.5 + 3x Solving 3 + 0.5x = 2.5 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 3 + 0.5x + -3x = 2.5 + 3x + -3x Combine like terms: 0.5x + -3x = -2.5x 3 + -2.5x = 2.5 + 3x + -3x Combine like terms: 3x + -3x = 0 3 + -2.5x = 2.5 + 0 3 + -2.5x = 2.5 Add '-3' to each side of the equation. 3 + -3 + -2.5x = 2.5 + -3 Combine like terms: 3 + -3 = 0 0 + -2.5x = 2.5 + -3 -2.5x = 2.5 + -3 Combine like terms: 2.5 + -3 = -0.5 -2.5x = -0.5 Divide each side by '-2.5'. x = 0.2 Simplifying x = 0.2
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