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Simplifying 10(0.202x + -0.01) = 1 Reorder the terms: 10(-0.01 + 0.202x) = 1 (-0.01 * 10 + 0.202x * 10) = 1 (-0.1 + 2.02x) = 1 Solving -0.1 + 2.02x = 1 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.1' to each side of the equation. -0.1 + 0.1 + 2.02x = 1 + 0.1 Combine like terms: -0.1 + 0.1 = 0.0 0.0 + 2.02x = 1 + 0.1 2.02x = 1 + 0.1 Combine like terms: 1 + 0.1 = 1.1 2.02x = 1.1 Divide each side by '2.02'. x = 0.5445544554 Simplifying x = 0.5445544554
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