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Simplifying 5.05x + -6.18 = 2.71x + 9.81 Reorder the terms: -6.18 + 5.05x = 2.71x + 9.81 Reorder the terms: -6.18 + 5.05x = 9.81 + 2.71x Solving -6.18 + 5.05x = 9.81 + 2.71x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2.71x' to each side of the equation. -6.18 + 5.05x + -2.71x = 9.81 + 2.71x + -2.71x Combine like terms: 5.05x + -2.71x = 2.34x -6.18 + 2.34x = 9.81 + 2.71x + -2.71x Combine like terms: 2.71x + -2.71x = 0.00 -6.18 + 2.34x = 9.81 + 0.00 -6.18 + 2.34x = 9.81 Add '6.18' to each side of the equation. -6.18 + 6.18 + 2.34x = 9.81 + 6.18 Combine like terms: -6.18 + 6.18 = 0.00 0.00 + 2.34x = 9.81 + 6.18 2.34x = 9.81 + 6.18 Combine like terms: 9.81 + 6.18 = 15.99 2.34x = 15.99 Divide each side by '2.34'. x = 6.833333333 Simplifying x = 6.833333333
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