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Simplifying 0.5x + -0.625 = 0.75x + 0.375 Reorder the terms: -0.625 + 0.5x = 0.75x + 0.375 Reorder the terms: -0.625 + 0.5x = 0.375 + 0.75x Solving -0.625 + 0.5x = 0.375 + 0.75x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.75x' to each side of the equation. -0.625 + 0.5x + -0.75x = 0.375 + 0.75x + -0.75x Combine like terms: 0.5x + -0.75x = -0.25x -0.625 + -0.25x = 0.375 + 0.75x + -0.75x Combine like terms: 0.75x + -0.75x = 0.00 -0.625 + -0.25x = 0.375 + 0.00 -0.625 + -0.25x = 0.375 Add '0.625' to each side of the equation. -0.625 + 0.625 + -0.25x = 0.375 + 0.625 Combine like terms: -0.625 + 0.625 = 0.000 0.000 + -0.25x = 0.375 + 0.625 -0.25x = 0.375 + 0.625 Combine like terms: 0.375 + 0.625 = 1 -0.25x = 1 Divide each side by '-0.25'. x = -4 Simplifying x = -4
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