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Simplifying 0.5x + 4 = -0.25x + 7.5 Reorder the terms: 4 + 0.5x = -0.25x + 7.5 Reorder the terms: 4 + 0.5x = 7.5 + -0.25x Solving 4 + 0.5x = 7.5 + -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. 4 + 0.5x + 0.25x = 7.5 + -0.25x + 0.25x Combine like terms: 0.5x + 0.25x = 0.75x 4 + 0.75x = 7.5 + -0.25x + 0.25x Combine like terms: -0.25x + 0.25x = 0.00 4 + 0.75x = 7.5 + 0.00 4 + 0.75x = 7.5 Add '-4' to each side of the equation. 4 + -4 + 0.75x = 7.5 + -4 Combine like terms: 4 + -4 = 0 0 + 0.75x = 7.5 + -4 0.75x = 7.5 + -4 Combine like terms: 7.5 + -4 = 3.5 0.75x = 3.5 Divide each side by '0.75'. x = 4.666666667 Simplifying x = 4.666666667
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