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Simplifying 0.5x + -2.5 = 1.25x + 2 Reorder the terms: -2.5 + 0.5x = 1.25x + 2 Reorder the terms: -2.5 + 0.5x = 2 + 1.25x Solving -2.5 + 0.5x = 2 + 1.25x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.25x' to each side of the equation. -2.5 + 0.5x + -1.25x = 2 + 1.25x + -1.25x Combine like terms: 0.5x + -1.25x = -0.75x -2.5 + -0.75x = 2 + 1.25x + -1.25x Combine like terms: 1.25x + -1.25x = 0.00 -2.5 + -0.75x = 2 + 0.00 -2.5 + -0.75x = 2 Add '2.5' to each side of the equation. -2.5 + 2.5 + -0.75x = 2 + 2.5 Combine like terms: -2.5 + 2.5 = 0.0 0.0 + -0.75x = 2 + 2.5 -0.75x = 2 + 2.5 Combine like terms: 2 + 2.5 = 4.5 -0.75x = 4.5 Divide each side by '-0.75'. x = -6 Simplifying x = -6
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