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Simplifying 2.25x + 0.5 = 8.5 + 0.25x Reorder the terms: 0.5 + 2.25x = 8.5 + 0.25x Solving 0.5 + 2.25x = 8.5 + 0.25x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.25x' to each side of the equation. 0.5 + 2.25x + -0.25x = 8.5 + 0.25x + -0.25x Combine like terms: 2.25x + -0.25x = 2x 0.5 + 2x = 8.5 + 0.25x + -0.25x Combine like terms: 0.25x + -0.25x = 0.00 0.5 + 2x = 8.5 + 0.00 0.5 + 2x = 8.5 Add '-0.5' to each side of the equation. 0.5 + -0.5 + 2x = 8.5 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + 2x = 8.5 + -0.5 2x = 8.5 + -0.5 Combine like terms: 8.5 + -0.5 = 8 2x = 8 Divide each side by '2'. x = 4 Simplifying x = 4
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