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Simplifying 0.50x + 0.45(70) = 0.25(114) Multiply 0.45 * 70 0.50x + 31.5 = 0.25(114) Reorder the terms: 31.5 + 0.50x = 0.25(114) Multiply 0.25 * 114 31.5 + 0.50x = 28.5 Solving 31.5 + 0.50x = 28.5 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-31.5' to each side of the equation. 31.5 + -31.5 + 0.50x = 28.5 + -31.5 Combine like terms: 31.5 + -31.5 = 0.0 0.0 + 0.50x = 28.5 + -31.5 0.50x = 28.5 + -31.5 Combine like terms: 28.5 + -31.5 = -3 0.50x = -3 Divide each side by '0.50'. x = -6 Simplifying x = -6
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