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Simplifying 0.5x + -5 = 0.75 + -1x Reorder the terms: -5 + 0.5x = 0.75 + -1x Solving -5 + 0.5x = 0.75 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -5 + 0.5x + x = 0.75 + -1x + x Combine like terms: 0.5x + x = 1.5x -5 + 1.5x = 0.75 + -1x + x Combine like terms: -1x + x = 0 -5 + 1.5x = 0.75 + 0 -5 + 1.5x = 0.75 Add '5' to each side of the equation. -5 + 5 + 1.5x = 0.75 + 5 Combine like terms: -5 + 5 = 0 0 + 1.5x = 0.75 + 5 1.5x = 0.75 + 5 Combine like terms: 0.75 + 5 = 5.75 1.5x = 5.75 Divide each side by '1.5'. x = 3.833333333 Simplifying x = 3.833333333
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