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Simplifying 0.5x + -1 = 0.75x + 4 Reorder the terms: -1 + 0.5x = 0.75x + 4 Reorder the terms: -1 + 0.5x = 4 + 0.75x Solving -1 + 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. -1 + 0.5x + -0.75x = 4 + 0.75x + -0.75x Combine like terms: 0.5x + -0.75x = -0.25x -1 + -0.25x = 4 + 0.75x + -0.75x Combine like terms: 0.75x + -0.75x = 0.00 -1 + -0.25x = 4 + 0.00 -1 + -0.25x = 4 Add '1' to each side of the equation. -1 + 1 + -0.25x = 4 + 1 Combine like terms: -1 + 1 = 0 0 + -0.25x = 4 + 1 -0.25x = 4 + 1 Combine like terms: 4 + 1 = 5 -0.25x = 5 Divide each side by '-0.25'. x = -20 Simplifying x = -20
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