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Simplifying 0.25x + 78 = 48 + -3x Reorder the terms: 78 + 0.25x = 48 + -3x Solving 78 + 0.25x = 48 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 78 + 0.25x + 3x = 48 + -3x + 3x Combine like terms: 0.25x + 3x = 3.25x 78 + 3.25x = 48 + -3x + 3x Combine like terms: -3x + 3x = 0 78 + 3.25x = 48 + 0 78 + 3.25x = 48 Add '-78' to each side of the equation. 78 + -78 + 3.25x = 48 + -78 Combine like terms: 78 + -78 = 0 0 + 3.25x = 48 + -78 3.25x = 48 + -78 Combine like terms: 48 + -78 = -30 3.25x = -30 Divide each side by '3.25'. x = -9.230769231 Simplifying x = -9.230769231
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