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Simplifying 9.1x + 8.31 = -10.9x + 7.63 Reorder the terms: 8.31 + 9.1x = -10.9x + 7.63 Reorder the terms: 8.31 + 9.1x = 7.63 + -10.9x Solving 8.31 + 9.1x = 7.63 + -10.9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10.9x' to each side of the equation. 8.31 + 9.1x + 10.9x = 7.63 + -10.9x + 10.9x Combine like terms: 9.1x + 10.9x = 20x 8.31 + 20x = 7.63 + -10.9x + 10.9x Combine like terms: -10.9x + 10.9x = 0.0 8.31 + 20x = 7.63 + 0.0 8.31 + 20x = 7.63 Add '-8.31' to each side of the equation. 8.31 + -8.31 + 20x = 7.63 + -8.31 Combine like terms: 8.31 + -8.31 = 0.00 0.00 + 20x = 7.63 + -8.31 20x = 7.63 + -8.31 Combine like terms: 7.63 + -8.31 = -0.68 20x = -0.68 Divide each side by '20'. x = -0.034 Simplifying x = -0.034
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