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Simplifying 0.75x + -1 = 0.25x + 7 Reorder the terms: -1 + 0.75x = 0.25x + 7 Reorder the terms: -1 + 0.75x = 7 + 0.25x Solving -1 + 0.75x = 7 + 0.25x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.25x' to each side of the equation. -1 + 0.75x + -0.25x = 7 + 0.25x + -0.25x Combine like terms: 0.75x + -0.25x = 0.5x -1 + 0.5x = 7 + 0.25x + -0.25x Combine like terms: 0.25x + -0.25x = 0.00 -1 + 0.5x = 7 + 0.00 -1 + 0.5x = 7 Add '1' to each side of the equation. -1 + 1 + 0.5x = 7 + 1 Combine like terms: -1 + 1 = 0 0 + 0.5x = 7 + 1 0.5x = 7 + 1 Combine like terms: 7 + 1 = 8 0.5x = 8 Divide each side by '0.5'. x = 16 Simplifying x = 16
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