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Simplifying 0.5x + -0.75 = 0.375 + -0.625x Reorder the terms: -0.75 + 0.5x = 0.375 + -0.625x Solving -0.75 + 0.5x = 0.375 + -0.625x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.625x' to each side of the equation. -0.75 + 0.5x + 0.625x = 0.375 + -0.625x + 0.625x Combine like terms: 0.5x + 0.625x = 1.125x -0.75 + 1.125x = 0.375 + -0.625x + 0.625x Combine like terms: -0.625x + 0.625x = 0.000 -0.75 + 1.125x = 0.375 + 0.000 -0.75 + 1.125x = 0.375 Add '0.75' to each side of the equation. -0.75 + 0.75 + 1.125x = 0.375 + 0.75 Combine like terms: -0.75 + 0.75 = 0.00 0.00 + 1.125x = 0.375 + 0.75 1.125x = 0.375 + 0.75 Combine like terms: 0.375 + 0.75 = 1.125 1.125x = 1.125 Divide each side by '1.125'. x = 1 Simplifying x = 1
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