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Simplifying 1.25x + -1 = 0.25x + 8 Reorder the terms: -1 + 1.25x = 0.25x + 8 Reorder the terms: -1 + 1.25x = 8 + 0.25x Solving -1 + 1.25x = 8 + 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 + 1.25x + -0.25x = 8 + 0.25x + -0.25x Combine like terms: 1.25x + -0.25x = 1x -1 + 1x = 8 + 0.25x + -0.25x Combine like terms: 0.25x + -0.25x = 0.00 -1 + 1x = 8 + 0.00 -1 + 1x = 8 Add '1' to each side of the equation. -1 + 1 + 1x = 8 + 1 Combine like terms: -1 + 1 = 0 0 + 1x = 8 + 1 1x = 8 + 1 Combine like terms: 8 + 1 = 9 1x = 9 Divide each side by '1'. x = 9 Simplifying x = 9
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