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Simplifying 8.92x + 3.2 = 6.7x + 10.7 Reorder the terms: 3.2 + 8.92x = 6.7x + 10.7 Reorder the terms: 3.2 + 8.92x = 10.7 + 6.7x Solving 3.2 + 8.92x = 10.7 + 6.7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6.7x' to each side of the equation. 3.2 + 8.92x + -6.7x = 10.7 + 6.7x + -6.7x Combine like terms: 8.92x + -6.7x = 2.22x 3.2 + 2.22x = 10.7 + 6.7x + -6.7x Combine like terms: 6.7x + -6.7x = 0.0 3.2 + 2.22x = 10.7 + 0.0 3.2 + 2.22x = 10.7 Add '-3.2' to each side of the equation. 3.2 + -3.2 + 2.22x = 10.7 + -3.2 Combine like terms: 3.2 + -3.2 = 0.0 0.0 + 2.22x = 10.7 + -3.2 2.22x = 10.7 + -3.2 Combine like terms: 10.7 + -3.2 = 7.5 2.22x = 7.5 Divide each side by '2.22'. x = 3.378378378 Simplifying x = 3.378378378
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