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Simplifying 2.5x + -10 + 0.75x = 2 + 2.5 + 3 + -0.5 Reorder the terms: -10 + 2.5x + 0.75x = 2 + 2.5 + 3 + -0.5 Combine like terms: 2.5x + 0.75x = 3.25x -10 + 3.25x = 2 + 2.5 + 3 + -0.5 Combine like terms: 2 + 2.5 = 4.5 -10 + 3.25x = 4.5 + 3 + -0.5 Combine like terms: 4.5 + 3 = 7.5 -10 + 3.25x = 7.5 + -0.5 Combine like terms: 7.5 + -0.5 = 7 -10 + 3.25x = 7 Solving -10 + 3.25x = 7 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + 3.25x = 7 + 10 Combine like terms: -10 + 10 = 0 0 + 3.25x = 7 + 10 3.25x = 7 + 10 Combine like terms: 7 + 10 = 17 3.25x = 17 Divide each side by '3.25'. x = 5.230769231 Simplifying x = 5.230769231
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