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Simplifying 1.25x + -1(0.5x + -1) = 2.5 Reorder the terms: 1.25x + -1(-1 + 0.5x) = 2.5 1.25x + (-1 * -1 + 0.5x * -1) = 2.5 1.25x + (1 + -0.5x) = 2.5 Reorder the terms: 1 + 1.25x + -0.5x = 2.5 Combine like terms: 1.25x + -0.5x = 0.75x 1 + 0.75x = 2.5 Solving 1 + 0.75x = 2.5 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 0.75x = 2.5 + -1 Combine like terms: 1 + -1 = 0 0 + 0.75x = 2.5 + -1 0.75x = 2.5 + -1 Combine like terms: 2.5 + -1 = 1.5 0.75x = 1.5 Divide each side by '0.75'. x = 2 Simplifying x = 2
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