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Simplifying 0.30x + 0.45(10) = 0.15(100) Multiply 0.45 * 10 0.30x + 4.5 = 0.15(100) Reorder the terms: 4.5 + 0.30x = 0.15(100) Multiply 0.15 * 100 4.5 + 0.30x = 15 Solving 4.5 + 0.30x = 15 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 + 0.30x = 15 + -4.5 Combine like terms: 4.5 + -4.5 = 0.0 0.0 + 0.30x = 15 + -4.5 0.30x = 15 + -4.5 Combine like terms: 15 + -4.5 = 10.5 0.30x = 10.5 Divide each side by '0.30'. x = 35 Simplifying x = 35
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