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Simplifying 1.5x + 9.75 = 1 + 2.75x Reorder the terms: 9.75 + 1.5x = 1 + 2.75x Solving 9.75 + 1.5x = 1 + 2.75x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2.75x' to each side of the equation. 9.75 + 1.5x + -2.75x = 1 + 2.75x + -2.75x Combine like terms: 1.5x + -2.75x = -1.25x 9.75 + -1.25x = 1 + 2.75x + -2.75x Combine like terms: 2.75x + -2.75x = 0.00 9.75 + -1.25x = 1 + 0.00 9.75 + -1.25x = 1 Add '-9.75' to each side of the equation. 9.75 + -9.75 + -1.25x = 1 + -9.75 Combine like terms: 9.75 + -9.75 = 0.00 0.00 + -1.25x = 1 + -9.75 -1.25x = 1 + -9.75 Combine like terms: 1 + -9.75 = -8.75 -1.25x = -8.75 Divide each side by '-1.25'. x = 7 Simplifying x = 7
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