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Simplifying 0.25x + 2.5 = 0.5x + 1.5 Reorder the terms: 2.5 + 0.25x = 0.5x + 1.5 Reorder the terms: 2.5 + 0.25x = 1.5 + 0.5x Solving 2.5 + 0.25x = 1.5 + 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. 2.5 + 0.25x + -0.5x = 1.5 + 0.5x + -0.5x Combine like terms: 0.25x + -0.5x = -0.25x 2.5 + -0.25x = 1.5 + 0.5x + -0.5x Combine like terms: 0.5x + -0.5x = 0.0 2.5 + -0.25x = 1.5 + 0.0 2.5 + -0.25x = 1.5 Add '-2.5' to each side of the equation. 2.5 + -2.5 + -0.25x = 1.5 + -2.5 Combine like terms: 2.5 + -2.5 = 0.0 0.0 + -0.25x = 1.5 + -2.5 -0.25x = 1.5 + -2.5 Combine like terms: 1.5 + -2.5 = -1 -0.25x = -1 Divide each side by '-0.25'. x = 4 Simplifying x = 4
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