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Simplifying 10.6x + 19.83 = -9.4x + 19.57 Reorder the terms: 19.83 + 10.6x = -9.4x + 19.57 Reorder the terms: 19.83 + 10.6x = 19.57 + -9.4x Solving 19.83 + 10.6x = 19.57 + -9.4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9.4x' to each side of the equation. 19.83 + 10.6x + 9.4x = 19.57 + -9.4x + 9.4x Combine like terms: 10.6x + 9.4x = 20x 19.83 + 20x = 19.57 + -9.4x + 9.4x Combine like terms: -9.4x + 9.4x = 0.0 19.83 + 20x = 19.57 + 0.0 19.83 + 20x = 19.57 Add '-19.83' to each side of the equation. 19.83 + -19.83 + 20x = 19.57 + -19.83 Combine like terms: 19.83 + -19.83 = 0.00 0.00 + 20x = 19.57 + -19.83 20x = 19.57 + -19.83 Combine like terms: 19.57 + -19.83 = -0.26 20x = -0.26 Divide each side by '20'. x = -0.013 Simplifying x = -0.013
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