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Simplifying 0.50 + 0.10(3.00x + 50.00) = 1460 Reorder the terms: 0.50 + 0.10(50.00 + 3.00x) = 1460 0.50 + (50.00 * 0.10 + 3.00x * 0.10) = 1460 0.50 + (5 + 0.3x) = 1460 Combine like terms: 0.50 + 5 = 5.5 5.5 + 0.3x = 1460 Solving 5.5 + 0.3x = 1460 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5.5' to each side of the equation. 5.5 + -5.5 + 0.3x = 1460 + -5.5 Combine like terms: 5.5 + -5.5 = 0.0 0.0 + 0.3x = 1460 + -5.5 0.3x = 1460 + -5.5 Combine like terms: 1460 + -5.5 = 1454.5 0.3x = 1454.5 Divide each side by '0.3'. x = 4848.333333 Simplifying x = 4848.333333
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