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Simplifying 9.5x + 86.38 = -10.5x + 85.74 Reorder the terms: 86.38 + 9.5x = -10.5x + 85.74 Reorder the terms: 86.38 + 9.5x = 85.74 + -10.5x Solving 86.38 + 9.5x = 85.74 + -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. 86.38 + 9.5x + 10.5x = 85.74 + -10.5x + 10.5x Combine like terms: 9.5x + 10.5x = 20x 86.38 + 20x = 85.74 + -10.5x + 10.5x Combine like terms: -10.5x + 10.5x = 0.0 86.38 + 20x = 85.74 + 0.0 86.38 + 20x = 85.74 Add '-86.38' to each side of the equation. 86.38 + -86.38 + 20x = 85.74 + -86.38 Combine like terms: 86.38 + -86.38 = 0.00 0.00 + 20x = 85.74 + -86.38 20x = 85.74 + -86.38 Combine like terms: 85.74 + -86.38 = -0.64 20x = -0.64 Divide each side by '20'. x = -0.032 Simplifying x = -0.032
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