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Simplifying 9.5x + 19.13 = -10.5x + 18.31 Reorder the terms: 19.13 + 9.5x = -10.5x + 18.31 Reorder the terms: 19.13 + 9.5x = 18.31 + -10.5x Solving 19.13 + 9.5x = 18.31 + -10.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10.5x' to each side of the equation. 19.13 + 9.5x + 10.5x = 18.31 + -10.5x + 10.5x Combine like terms: 9.5x + 10.5x = 20x 19.13 + 20x = 18.31 + -10.5x + 10.5x Combine like terms: -10.5x + 10.5x = 0.0 19.13 + 20x = 18.31 + 0.0 19.13 + 20x = 18.31 Add '-19.13' to each side of the equation. 19.13 + -19.13 + 20x = 18.31 + -19.13 Combine like terms: 19.13 + -19.13 = 0.00 0.00 + 20x = 18.31 + -19.13 20x = 18.31 + -19.13 Combine like terms: 18.31 + -19.13 = -0.82 20x = -0.82 Divide each side by '20'. x = -0.041 Simplifying x = -0.041
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