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Simplifying 9.3x + 16.46 = -10.7x + 14.78 Reorder the terms: 16.46 + 9.3x = -10.7x + 14.78 Reorder the terms: 16.46 + 9.3x = 14.78 + -10.7x Solving 16.46 + 9.3x = 14.78 + -10.7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10.7x' to each side of the equation. 16.46 + 9.3x + 10.7x = 14.78 + -10.7x + 10.7x Combine like terms: 9.3x + 10.7x = 20x 16.46 + 20x = 14.78 + -10.7x + 10.7x Combine like terms: -10.7x + 10.7x = 0.0 16.46 + 20x = 14.78 + 0.0 16.46 + 20x = 14.78 Add '-16.46' to each side of the equation. 16.46 + -16.46 + 20x = 14.78 + -16.46 Combine like terms: 16.46 + -16.46 = 0.00 0.00 + 20x = 14.78 + -16.46 20x = 14.78 + -16.46 Combine like terms: 14.78 + -16.46 = -1.68 20x = -1.68 Divide each side by '20'. x = -0.084 Simplifying x = -0.084
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