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Simplifying 0.50x + 0.35(70) = 29.5 Multiply 0.35 * 70 0.50x + 24.5 = 29.5 Reorder the terms: 24.5 + 0.50x = 29.5 Solving 24.5 + 0.50x = 29.5 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24.5' to each side of the equation. 24.5 + -24.5 + 0.50x = 29.5 + -24.5 Combine like terms: 24.5 + -24.5 = 0.0 0.0 + 0.50x = 29.5 + -24.5 0.50x = 29.5 + -24.5 Combine like terms: 29.5 + -24.5 = 5 0.50x = 5 Divide each side by '0.50'. x = 10 Simplifying x = 10
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