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Simplifying 0.25x + 0.5 = 2.5x + 4 Reorder the terms: 0.5 + 0.25x = 2.5x + 4 Reorder the terms: 0.5 + 0.25x = 4 + 2.5x Solving 0.5 + 0.25x = 4 + 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. 0.5 + 0.25x + -2.5x = 4 + 2.5x + -2.5x Combine like terms: 0.25x + -2.5x = -2.25x 0.5 + -2.25x = 4 + 2.5x + -2.5x Combine like terms: 2.5x + -2.5x = 0.0 0.5 + -2.25x = 4 + 0.0 0.5 + -2.25x = 4 Add '-0.5' to each side of the equation. 0.5 + -0.5 + -2.25x = 4 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + -2.25x = 4 + -0.5 -2.25x = 4 + -0.5 Combine like terms: 4 + -0.5 = 3.5 -2.25x = 3.5 Divide each side by '-2.25'. x = -1.555555556 Simplifying x = -1.555555556
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