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Simplifying 10.7x + 46.59 = -9.3x + 45.81 Reorder the terms: 46.59 + 10.7x = -9.3x + 45.81 Reorder the terms: 46.59 + 10.7x = 45.81 + -9.3x Solving 46.59 + 10.7x = 45.81 + -9.3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9.3x' to each side of the equation. 46.59 + 10.7x + 9.3x = 45.81 + -9.3x + 9.3x Combine like terms: 10.7x + 9.3x = 20x 46.59 + 20x = 45.81 + -9.3x + 9.3x Combine like terms: -9.3x + 9.3x = 0.0 46.59 + 20x = 45.81 + 0.0 46.59 + 20x = 45.81 Add '-46.59' to each side of the equation. 46.59 + -46.59 + 20x = 45.81 + -46.59 Combine like terms: 46.59 + -46.59 = 0.00 0.00 + 20x = 45.81 + -46.59 20x = 45.81 + -46.59 Combine like terms: 45.81 + -46.59 = -0.78 20x = -0.78 Divide each side by '20'. x = -0.039 Simplifying x = -0.039
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