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Simplifying 5.75 = -2(x + 3.25) + 0.5 Reorder the terms: 5.75 = -2(3.25 + x) + 0.5 5.75 = (3.25 * -2 + x * -2) + 0.5 5.75 = (-6.5 + -2x) + 0.5 Reorder the terms: 5.75 = -6.5 + 0.5 + -2x Combine like terms: -6.5 + 0.5 = -6 5.75 = -6 + -2x Solving 5.75 = -6 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 5.75 + 2x = -6 + -2x + 2x Combine like terms: -2x + 2x = 0 5.75 + 2x = -6 + 0 5.75 + 2x = -6 Add '-5.75' to each side of the equation. 5.75 + -5.75 + 2x = -6 + -5.75 Combine like terms: 5.75 + -5.75 = 0.00 0.00 + 2x = -6 + -5.75 2x = -6 + -5.75 Combine like terms: -6 + -5.75 = -11.75 2x = -11.75 Divide each side by '2'. x = -5.875 Simplifying x = -5.875
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