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Simplifying 0.75x + 0.5x = 5x + 0.5 + 0.25x Combine like terms: 0.75x + 0.5x = 1.25x 1.25x = 5x + 0.5 + 0.25x Reorder the terms: 1.25x = 0.5 + 5x + 0.25x Combine like terms: 5x + 0.25x = 5.25x 1.25x = 0.5 + 5.25x Solving 1.25x = 0.5 + 5.25x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5.25x' to each side of the equation. 1.25x + -5.25x = 0.5 + 5.25x + -5.25x Combine like terms: 1.25x + -5.25x = -4x -4x = 0.5 + 5.25x + -5.25x Combine like terms: 5.25x + -5.25x = 0.00 -4x = 0.5 + 0.00 -4x = 0.5 Divide each side by '-4'. x = -0.125 Simplifying x = -0.125
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