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Simplifying 0.75x + -2 = 0.5x + 7 Reorder the terms: -2 + 0.75x = 0.5x + 7 Reorder the terms: -2 + 0.75x = 7 + 0.5x Solving -2 + 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. -2 + 0.75x + -0.5x = 7 + 0.5x + -0.5x Combine like terms: 0.75x + -0.5x = 0.25x -2 + 0.25x = 7 + 0.5x + -0.5x Combine like terms: 0.5x + -0.5x = 0.0 -2 + 0.25x = 7 + 0.0 -2 + 0.25x = 7 Add '2' to each side of the equation. -2 + 2 + 0.25x = 7 + 2 Combine like terms: -2 + 2 = 0 0 + 0.25x = 7 + 2 0.25x = 7 + 2 Combine like terms: 7 + 2 = 9 0.25x = 9 Divide each side by '0.25'. x = 36 Simplifying x = 36
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