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Simplifying 0.5x + -5 + 2.5x = -2.5x + 22.5 Reorder the terms: -5 + 0.5x + 2.5x = -2.5x + 22.5 Combine like terms: 0.5x + 2.5x = 3x -5 + 3x = -2.5x + 22.5 Reorder the terms: -5 + 3x = 22.5 + -2.5x Solving -5 + 3x = 22.5 + -2.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2.5x' to each side of the equation. -5 + 3x + 2.5x = 22.5 + -2.5x + 2.5x Combine like terms: 3x + 2.5x = 5.5x -5 + 5.5x = 22.5 + -2.5x + 2.5x Combine like terms: -2.5x + 2.5x = 0.0 -5 + 5.5x = 22.5 + 0.0 -5 + 5.5x = 22.5 Add '5' to each side of the equation. -5 + 5 + 5.5x = 22.5 + 5 Combine like terms: -5 + 5 = 0 0 + 5.5x = 22.5 + 5 5.5x = 22.5 + 5 Combine like terms: 22.5 + 5 = 27.5 5.5x = 27.5 Divide each side by '5.5'. x = 5 Simplifying x = 5
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