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Simplifying 3x + -2(-0.25 + 1.25x) = 1 3x + (-0.25 * -2 + 1.25x * -2) = 1 3x + (0.5 + -2.5x) = 1 Reorder the terms: 0.5 + 3x + -2.5x = 1 Combine like terms: 3x + -2.5x = 0.5x 0.5 + 0.5x = 1 Solving 0.5 + 0.5x = 1 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.5' to each side of the equation. 0.5 + -0.5 + 0.5x = 1 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + 0.5x = 1 + -0.5 0.5x = 1 + -0.5 Combine like terms: 1 + -0.5 = 0.5 0.5x = 0.5 Divide each side by '0.5'. x = 1 Simplifying x = 1
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