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Simplifying 0.5x + 0.22(200) = 0.25(172) Multiply 0.22 * 200 0.5x + 44 = 0.25(172) Reorder the terms: 44 + 0.5x = 0.25(172) Multiply 0.25 * 172 44 + 0.5x = 43 Solving 44 + 0.5x = 43 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-44' to each side of the equation. 44 + -44 + 0.5x = 43 + -44 Combine like terms: 44 + -44 = 0 0 + 0.5x = 43 + -44 0.5x = 43 + -44 Combine like terms: 43 + -44 = -1 0.5x = -1 Divide each side by '0.5'. x = -2 Simplifying x = -2
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