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Simplifying 3x + -8.5 = 2.5x + -1.25 + -0.75x Reorder the terms: -8.5 + 3x = 2.5x + -1.25 + -0.75x Reorder the terms: -8.5 + 3x = -1.25 + 2.5x + -0.75x Combine like terms: 2.5x + -0.75x = 1.75x -8.5 + 3x = -1.25 + 1.75x Solving -8.5 + 3x = -1.25 + 1.75x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.75x' to each side of the equation. -8.5 + 3x + -1.75x = -1.25 + 1.75x + -1.75x Combine like terms: 3x + -1.75x = 1.25x -8.5 + 1.25x = -1.25 + 1.75x + -1.75x Combine like terms: 1.75x + -1.75x = 0.00 -8.5 + 1.25x = -1.25 + 0.00 -8.5 + 1.25x = -1.25 Add '8.5' to each side of the equation. -8.5 + 8.5 + 1.25x = -1.25 + 8.5 Combine like terms: -8.5 + 8.5 = 0.0 0.0 + 1.25x = -1.25 + 8.5 1.25x = -1.25 + 8.5 Combine like terms: -1.25 + 8.5 = 7.25 1.25x = 7.25 Divide each side by '1.25'. x = 5.8 Simplifying x = 5.8
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