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Simplifying (0.5x + 0.75) + (0.5x + -0.25) = 0 Reorder the terms: (0.75 + 0.5x) + (0.5x + -0.25) = 0 Remove parenthesis around (0.75 + 0.5x) 0.75 + 0.5x + (0.5x + -0.25) = 0 Reorder the terms: 0.75 + 0.5x + (-0.25 + 0.5x) = 0 Remove parenthesis around (-0.25 + 0.5x) 0.75 + 0.5x + -0.25 + 0.5x = 0 Reorder the terms: 0.75 + -0.25 + 0.5x + 0.5x = 0 Combine like terms: 0.75 + -0.25 = 0.5 0.5 + 0.5x + 0.5x = 0 Combine like terms: 0.5x + 0.5x = 1x 0.5 + 1x = 0 Solving 0.5 + 1x = 0 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 + 1x = 0 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + 1x = 0 + -0.5 1x = 0 + -0.5 Combine like terms: 0 + -0.5 = -0.5 1x = -0.5 Divide each side by '1'. x = -0.5 Simplifying x = -0.5
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