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Simplifying 9.5x + 83.99 = -10.5x + 82.51 Reorder the terms: 83.99 + 9.5x = -10.5x + 82.51 Reorder the terms: 83.99 + 9.5x = 82.51 + -10.5x Solving 83.99 + 9.5x = 82.51 + -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. 83.99 + 9.5x + 10.5x = 82.51 + -10.5x + 10.5x Combine like terms: 9.5x + 10.5x = 20x 83.99 + 20x = 82.51 + -10.5x + 10.5x Combine like terms: -10.5x + 10.5x = 0.0 83.99 + 20x = 82.51 + 0.0 83.99 + 20x = 82.51 Add '-83.99' to each side of the equation. 83.99 + -83.99 + 20x = 82.51 + -83.99 Combine like terms: 83.99 + -83.99 = 0.00 0.00 + 20x = 82.51 + -83.99 20x = 82.51 + -83.99 Combine like terms: 82.51 + -83.99 = -1.48 20x = -1.48 Divide each side by '20'. x = -0.074 Simplifying x = -0.074
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