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Simplifying 2x + 0.5x + -2 = -0.25x + 2 + -0.25x Reorder the terms: -2 + 2x + 0.5x = -0.25x + 2 + -0.25x Combine like terms: 2x + 0.5x = 2.5x -2 + 2.5x = -0.25x + 2 + -0.25x Reorder the terms: -2 + 2.5x = 2 + -0.25x + -0.25x Combine like terms: -0.25x + -0.25x = -0.5x -2 + 2.5x = 2 + -0.5x Solving -2 + 2.5x = 2 + -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. -2 + 2.5x + 0.5x = 2 + -0.5x + 0.5x Combine like terms: 2.5x + 0.5x = 3x -2 + 3x = 2 + -0.5x + 0.5x Combine like terms: -0.5x + 0.5x = 0.0 -2 + 3x = 2 + 0.0 -2 + 3x = 2 Add '2' to each side of the equation. -2 + 2 + 3x = 2 + 2 Combine like terms: -2 + 2 = 0 0 + 3x = 2 + 2 3x = 2 + 2 Combine like terms: 2 + 2 = 4 3x = 4 Divide each side by '3'. x = 1.333333333 Simplifying x = 1.333333333
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