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Simplifying 0.25x + 4 = 0.5 + 2.25x Reorder the terms: 4 + 0.25x = 0.5 + 2.25x Solving 4 + 0.25x = 0.5 + 2.25x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2.25x' to each side of the equation. 4 + 0.25x + -2.25x = 0.5 + 2.25x + -2.25x Combine like terms: 0.25x + -2.25x = -2x 4 + -2x = 0.5 + 2.25x + -2.25x Combine like terms: 2.25x + -2.25x = 0.00 4 + -2x = 0.5 + 0.00 4 + -2x = 0.5 Add '-4' to each side of the equation. 4 + -4 + -2x = 0.5 + -4 Combine like terms: 4 + -4 = 0 0 + -2x = 0.5 + -4 -2x = 0.5 + -4 Combine like terms: 0.5 + -4 = -3.5 -2x = -3.5 Divide each side by '-2'. x = 1.75 Simplifying x = 1.75
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