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Simplifying 2.5x + 9 = 7.75x + 1.5 Reorder the terms: 9 + 2.5x = 7.75x + 1.5 Reorder the terms: 9 + 2.5x = 1.5 + 7.75x Solving 9 + 2.5x = 1.5 + 7.75x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7.75x' to each side of the equation. 9 + 2.5x + -7.75x = 1.5 + 7.75x + -7.75x Combine like terms: 2.5x + -7.75x = -5.25x 9 + -5.25x = 1.5 + 7.75x + -7.75x Combine like terms: 7.75x + -7.75x = 0.00 9 + -5.25x = 1.5 + 0.00 9 + -5.25x = 1.5 Add '-9' to each side of the equation. 9 + -9 + -5.25x = 1.5 + -9 Combine like terms: 9 + -9 = 0 0 + -5.25x = 1.5 + -9 -5.25x = 1.5 + -9 Combine like terms: 1.5 + -9 = -7.5 -5.25x = -7.5 Divide each side by '-5.25'. x = 1.428571429 Simplifying x = 1.428571429
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