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Simplifying 0.06x + 0.45(10) = 0.30(115) Multiply 0.45 * 10 0.06x + 4.5 = 0.30(115) Reorder the terms: 4.5 + 0.06x = 0.30(115) Multiply 0.30 * 115 4.5 + 0.06x = 34.5 Solving 4.5 + 0.06x = 34.5 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4.5' to each side of the equation. 4.5 + -4.5 + 0.06x = 34.5 + -4.5 Combine like terms: 4.5 + -4.5 = 0.0 0.0 + 0.06x = 34.5 + -4.5 0.06x = 34.5 + -4.5 Combine like terms: 34.5 + -4.5 = 30 0.06x = 30 Divide each side by '0.06'. x = 500 Simplifying x = 500
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