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Simplifying x + 0.83(x + 0.02) = 0.052 Reorder the terms: x + 0.83(0.02 + x) = 0.052 x + (0.02 * 0.83 + x * 0.83) = 0.052 x + (0.0166 + 0.83x) = 0.052 Reorder the terms: 0.0166 + x + 0.83x = 0.052 Combine like terms: x + 0.83x = 1.83x 0.0166 + 1.83x = 0.052 Solving 0.0166 + 1.83x = 0.052 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.0166' to each side of the equation. 0.0166 + -0.0166 + 1.83x = 0.052 + -0.0166 Combine like terms: 0.0166 + -0.0166 = 0.0000 0.0000 + 1.83x = 0.052 + -0.0166 1.83x = 0.052 + -0.0166 Combine like terms: 0.052 + -0.0166 = 0.0354 1.83x = 0.0354 Divide each side by '1.83'. x = 0.0193442623 Simplifying x = 0.0193442623
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