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Simplifying 3x + -5 + -2.5 = 8 + 0.5x Reorder the terms: -5 + -2.5 + 3x = 8 + 0.5x Combine like terms: -5 + -2.5 = -7.5 -7.5 + 3x = 8 + 0.5x Solving -7.5 + 3x = 8 + 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. -7.5 + 3x + -0.5x = 8 + 0.5x + -0.5x Combine like terms: 3x + -0.5x = 2.5x -7.5 + 2.5x = 8 + 0.5x + -0.5x Combine like terms: 0.5x + -0.5x = 0.0 -7.5 + 2.5x = 8 + 0.0 -7.5 + 2.5x = 8 Add '7.5' to each side of the equation. -7.5 + 7.5 + 2.5x = 8 + 7.5 Combine like terms: -7.5 + 7.5 = 0.0 0.0 + 2.5x = 8 + 7.5 2.5x = 8 + 7.5 Combine like terms: 8 + 7.5 = 15.5 2.5x = 15.5 Divide each side by '2.5'. x = 6.2 Simplifying x = 6.2
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