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Simplifying 0.75x + 0.5 = 1.25 + x Reorder the terms: 0.5 + 0.75x = 1.25 + x Solving 0.5 + 0.75x = 1.25 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 0.5 + 0.75x + -1x = 1.25 + x + -1x Combine like terms: 0.75x + -1x = -0.25x 0.5 + -0.25x = 1.25 + x + -1x Combine like terms: x + -1x = 0 0.5 + -0.25x = 1.25 + 0 0.5 + -0.25x = 1.25 Add '-0.5' to each side of the equation. 0.5 + -0.5 + -0.25x = 1.25 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + -0.25x = 1.25 + -0.5 -0.25x = 1.25 + -0.5 Combine like terms: 1.25 + -0.5 = 0.75 -0.25x = 0.75 Divide each side by '-0.25'. x = -3 Simplifying x = -3
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