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Simplifying 83.71 = 0.09x + 2.71 Reorder the terms: 83.71 = 2.71 + 0.09x Solving 83.71 = 2.71 + 0.09x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.09x' to each side of the equation. 83.71 + -0.09x = 2.71 + 0.09x + -0.09x Combine like terms: 0.09x + -0.09x = 0.00 83.71 + -0.09x = 2.71 + 0.00 83.71 + -0.09x = 2.71 Add '-83.71' to each side of the equation. 83.71 + -83.71 + -0.09x = 2.71 + -83.71 Combine like terms: 83.71 + -83.71 = 0.00 0.00 + -0.09x = 2.71 + -83.71 -0.09x = 2.71 + -83.71 Combine like terms: 2.71 + -83.71 = -81 -0.09x = -81 Divide each side by '-0.09'. x = 900 Simplifying x = 900
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