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Simplifying 0.75x + 3 = x + 0.5 Reorder the terms: 3 + 0.75x = x + 0.5 Reorder the terms: 3 + 0.75x = 0.5 + x Solving 3 + 0.75x = 0.5 + 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. 3 + 0.75x + -1x = 0.5 + x + -1x Combine like terms: 0.75x + -1x = -0.25x 3 + -0.25x = 0.5 + x + -1x Combine like terms: x + -1x = 0 3 + -0.25x = 0.5 + 0 3 + -0.25x = 0.5 Add '-3' to each side of the equation. 3 + -3 + -0.25x = 0.5 + -3 Combine like terms: 3 + -3 = 0 0 + -0.25x = 0.5 + -3 -0.25x = 0.5 + -3 Combine like terms: 0.5 + -3 = -2.5 -0.25x = -2.5 Divide each side by '-0.25'. x = 10 Simplifying x = 10
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