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Simplifying 0.875(x + -0.5) + 0.25x = 1 Reorder the terms: 0.875(-0.5 + x) + 0.25x = 1 (-0.5 * 0.875 + x * 0.875) + 0.25x = 1 (-0.4375 + 0.875x) + 0.25x = 1 Combine like terms: 0.875x + 0.25x = 1.125x -0.4375 + 1.125x = 1 Solving -0.4375 + 1.125x = 1 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.4375' to each side of the equation. -0.4375 + 0.4375 + 1.125x = 1 + 0.4375 Combine like terms: -0.4375 + 0.4375 = 0.0000 0.0000 + 1.125x = 1 + 0.4375 1.125x = 1 + 0.4375 Combine like terms: 1 + 0.4375 = 1.4375 1.125x = 1.4375 Divide each side by '1.125'. x = 1.277777778 Simplifying x = 1.277777778
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