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Simplifying 0.75x + -1 = 0.5x + 7 Reorder the terms: -1 + 0.75x = 0.5x + 7 Reorder the terms: -1 + 0.75x = 7 + 0.5x Solving -1 + 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. -1 + 0.75x + -0.5x = 7 + 0.5x + -0.5x Combine like terms: 0.75x + -0.5x = 0.25x -1 + 0.25x = 7 + 0.5x + -0.5x Combine like terms: 0.5x + -0.5x = 0.0 -1 + 0.25x = 7 + 0.0 -1 + 0.25x = 7 Add '1' to each side of the equation. -1 + 1 + 0.25x = 7 + 1 Combine like terms: -1 + 1 = 0 0 + 0.25x = 7 + 1 0.25x = 7 + 1 Combine like terms: 7 + 1 = 8 0.25x = 8 Divide each side by '0.25'. x = 32 Simplifying x = 32
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