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Simplifying 0.75x + 13.25 = 1.25x + 12 Reorder the terms: 13.25 + 0.75x = 1.25x + 12 Reorder the terms: 13.25 + 0.75x = 12 + 1.25x Solving 13.25 + 0.75x = 12 + 1.25x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.25x' to each side of the equation. 13.25 + 0.75x + -1.25x = 12 + 1.25x + -1.25x Combine like terms: 0.75x + -1.25x = -0.5x 13.25 + -0.5x = 12 + 1.25x + -1.25x Combine like terms: 1.25x + -1.25x = 0.00 13.25 + -0.5x = 12 + 0.00 13.25 + -0.5x = 12 Add '-13.25' to each side of the equation. 13.25 + -13.25 + -0.5x = 12 + -13.25 Combine like terms: 13.25 + -13.25 = 0.00 0.00 + -0.5x = 12 + -13.25 -0.5x = 12 + -13.25 Combine like terms: 12 + -13.25 = -1.25 -0.5x = -1.25 Divide each side by '-0.5'. x = 2.5 Simplifying x = 2.5
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