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Simplifying 0.5x + 1.25x = x + 5 Combine like terms: 0.5x + 1.25x = 1.75x 1.75x = x + 5 Reorder the terms: 1.75x = 5 + x Solving 1.75x = 5 + 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. 1.75x + -1x = 5 + x + -1x Combine like terms: 1.75x + -1x = 0.75x 0.75x = 5 + x + -1x Combine like terms: x + -1x = 0 0.75x = 5 + 0 0.75x = 5 Divide each side by '0.75'. x = 6.666666667 Simplifying x = 6.666666667
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