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Simplifying 0.50x + 0.20(160) = 0.25(52) Multiply 0.20 * 160 0.50x + 32 = 0.25(52) Reorder the terms: 32 + 0.50x = 0.25(52) Multiply 0.25 * 52 32 + 0.50x = 13 Solving 32 + 0.50x = 13 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-32' to each side of the equation. 32 + -32 + 0.50x = 13 + -32 Combine like terms: 32 + -32 = 0 0 + 0.50x = 13 + -32 0.50x = 13 + -32 Combine like terms: 13 + -32 = -19 0.50x = -19 Divide each side by '0.50'. x = -38 Simplifying x = -38
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