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Simplifying 0.5x + -3 = 0.75x + 4 Reorder the terms: -3 + 0.5x = 0.75x + 4 Reorder the terms: -3 + 0.5x = 4 + 0.75x Solving -3 + 0.5x = 4 + 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. -3 + 0.5x + -0.75x = 4 + 0.75x + -0.75x Combine like terms: 0.5x + -0.75x = -0.25x -3 + -0.25x = 4 + 0.75x + -0.75x Combine like terms: 0.75x + -0.75x = 0.00 -3 + -0.25x = 4 + 0.00 -3 + -0.25x = 4 Add '3' to each side of the equation. -3 + 3 + -0.25x = 4 + 3 Combine like terms: -3 + 3 = 0 0 + -0.25x = 4 + 3 -0.25x = 4 + 3 Combine like terms: 4 + 3 = 7 -0.25x = 7 Divide each side by '-0.25'. x = -28 Simplifying x = -28
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