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Simplifying 2.5x + -9 = 1.75x + 6 Reorder the terms: -9 + 2.5x = 1.75x + 6 Reorder the terms: -9 + 2.5x = 6 + 1.75x Solving -9 + 2.5x = 6 + 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. -9 + 2.5x + -1.75x = 6 + 1.75x + -1.75x Combine like terms: 2.5x + -1.75x = 0.75x -9 + 0.75x = 6 + 1.75x + -1.75x Combine like terms: 1.75x + -1.75x = 0.00 -9 + 0.75x = 6 + 0.00 -9 + 0.75x = 6 Add '9' to each side of the equation. -9 + 9 + 0.75x = 6 + 9 Combine like terms: -9 + 9 = 0 0 + 0.75x = 6 + 9 0.75x = 6 + 9 Combine like terms: 6 + 9 = 15 0.75x = 15 Divide each side by '0.75'. x = 20 Simplifying x = 20
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