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Simplifying 0.10x + 0.45(30) = 22.5 Multiply 0.45 * 30 0.10x + 13.5 = 22.5 Reorder the terms: 13.5 + 0.10x = 22.5 Solving 13.5 + 0.10x = 22.5 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13.5' to each side of the equation. 13.5 + -13.5 + 0.10x = 22.5 + -13.5 Combine like terms: 13.5 + -13.5 = 0.0 0.0 + 0.10x = 22.5 + -13.5 0.10x = 22.5 + -13.5 Combine like terms: 22.5 + -13.5 = 9 0.10x = 9 Divide each side by '0.10'. x = 90 Simplifying x = 90
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