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Simplifying 0.5x + 0.35(200) = 0.25(114) Multiply 0.35 * 200 0.5x + 70 = 0.25(114) Reorder the terms: 70 + 0.5x = 0.25(114) Multiply 0.25 * 114 70 + 0.5x = 28.5 Solving 70 + 0.5x = 28.5 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-70' to each side of the equation. 70 + -70 + 0.5x = 28.5 + -70 Combine like terms: 70 + -70 = 0 0 + 0.5x = 28.5 + -70 0.5x = 28.5 + -70 Combine like terms: 28.5 + -70 = -41.5 0.5x = -41.5 Divide each side by '0.5'. x = -83 Simplifying x = -83
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