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Simplifying 0.85x + 0.89(x + -6) = 5.22 Reorder the terms: 0.85x + 0.89(-6 + x) = 5.22 0.85x + (-6 * 0.89 + x * 0.89) = 5.22 0.85x + (-5.34 + 0.89x) = 5.22 Reorder the terms: -5.34 + 0.85x + 0.89x = 5.22 Combine like terms: 0.85x + 0.89x = 1.74x -5.34 + 1.74x = 5.22 Solving -5.34 + 1.74x = 5.22 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5.34' to each side of the equation. -5.34 + 5.34 + 1.74x = 5.22 + 5.34 Combine like terms: -5.34 + 5.34 = 0.00 0.00 + 1.74x = 5.22 + 5.34 1.74x = 5.22 + 5.34 Combine like terms: 5.22 + 5.34 = 10.56 1.74x = 10.56 Divide each side by '1.74'. x = 6.068965517 Simplifying x = 6.068965517
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