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Simplifying x + 0.57(x + 0.02) = 0.0493 Reorder the terms: x + 0.57(0.02 + x) = 0.0493 x + (0.02 * 0.57 + x * 0.57) = 0.0493 x + (0.0114 + 0.57x) = 0.0493 Reorder the terms: 0.0114 + x + 0.57x = 0.0493 Combine like terms: x + 0.57x = 1.57x 0.0114 + 1.57x = 0.0493 Solving 0.0114 + 1.57x = 0.0493 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.0114' to each side of the equation. 0.0114 + -0.0114 + 1.57x = 0.0493 + -0.0114 Combine like terms: 0.0114 + -0.0114 = 0.0000 0.0000 + 1.57x = 0.0493 + -0.0114 1.57x = 0.0493 + -0.0114 Combine like terms: 0.0493 + -0.0114 = 0.0379 1.57x = 0.0379 Divide each side by '1.57'. x = 0.02414012739 Simplifying x = 0.02414012739
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