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Simplifying 1.5x + 0.5 = -0.25x + 9.25 Reorder the terms: 0.5 + 1.5x = -0.25x + 9.25 Reorder the terms: 0.5 + 1.5x = 9.25 + -0.25x Solving 0.5 + 1.5x = 9.25 + -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 + 1.5x + 0.25x = 9.25 + -0.25x + 0.25x Combine like terms: 1.5x + 0.25x = 1.75x 0.5 + 1.75x = 9.25 + -0.25x + 0.25x Combine like terms: -0.25x + 0.25x = 0.00 0.5 + 1.75x = 9.25 + 0.00 0.5 + 1.75x = 9.25 Add '-0.5' to each side of the equation. 0.5 + -0.5 + 1.75x = 9.25 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + 1.75x = 9.25 + -0.5 1.75x = 9.25 + -0.5 Combine like terms: 9.25 + -0.5 = 8.75 1.75x = 8.75 Divide each side by '1.75'. x = 5 Simplifying x = 5
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