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Simplifying 0.5x + -2 = -1.5x + 2 Reorder the terms: -2 + 0.5x = -1.5x + 2 Reorder the terms: -2 + 0.5x = 2 + -1.5x Solving -2 + 0.5x = 2 + -1.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1.5x' to each side of the equation. -2 + 0.5x + 1.5x = 2 + -1.5x + 1.5x Combine like terms: 0.5x + 1.5x = 2x -2 + 2x = 2 + -1.5x + 1.5x Combine like terms: -1.5x + 1.5x = 0.0 -2 + 2x = 2 + 0.0 -2 + 2x = 2 Add '2' to each side of the equation. -2 + 2 + 2x = 2 + 2 Combine like terms: -2 + 2 = 0 0 + 2x = 2 + 2 2x = 2 + 2 Combine like terms: 2 + 2 = 4 2x = 4 Divide each side by '2'. x = 2 Simplifying x = 2
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