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Simplifying 0.5x + -2 = -2.5x + 1 Reorder the terms: -2 + 0.5x = -2.5x + 1 Reorder the terms: -2 + 0.5x = 1 + -2.5x Solving -2 + 0.5x = 1 + -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. -2 + 0.5x + 2.5x = 1 + -2.5x + 2.5x Combine like terms: 0.5x + 2.5x = 3x -2 + 3x = 1 + -2.5x + 2.5x Combine like terms: -2.5x + 2.5x = 0.0 -2 + 3x = 1 + 0.0 -2 + 3x = 1 Add '2' to each side of the equation. -2 + 2 + 3x = 1 + 2 Combine like terms: -2 + 2 = 0 0 + 3x = 1 + 2 3x = 1 + 2 Combine like terms: 1 + 2 = 3 3x = 3 Divide each side by '3'. x = 1 Simplifying x = 1
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