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Simplifying 0.75x + -4 = 7 + 0.5x Reorder the terms: -4 + 0.75x = 7 + 0.5x Solving -4 + 0.75x = 7 + 0.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.5x' to each side of the equation. -4 + 0.75x + -0.5x = 7 + 0.5x + -0.5x Combine like terms: 0.75x + -0.5x = 0.25x -4 + 0.25x = 7 + 0.5x + -0.5x Combine like terms: 0.5x + -0.5x = 0.0 -4 + 0.25x = 7 + 0.0 -4 + 0.25x = 7 Add '4' to each side of the equation. -4 + 4 + 0.25x = 7 + 4 Combine like terms: -4 + 4 = 0 0 + 0.25x = 7 + 4 0.25x = 7 + 4 Combine like terms: 7 + 4 = 11 0.25x = 11 Divide each side by '0.25'. x = 44 Simplifying x = 44
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