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Simplifying 8.5x + 15.75 = -11.5x + 14.81 Reorder the terms: 15.75 + 8.5x = -11.5x + 14.81 Reorder the terms: 15.75 + 8.5x = 14.81 + -11.5x Solving 15.75 + 8.5x = 14.81 + -11.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '11.5x' to each side of the equation. 15.75 + 8.5x + 11.5x = 14.81 + -11.5x + 11.5x Combine like terms: 8.5x + 11.5x = 20x 15.75 + 20x = 14.81 + -11.5x + 11.5x Combine like terms: -11.5x + 11.5x = 0.0 15.75 + 20x = 14.81 + 0.0 15.75 + 20x = 14.81 Add '-15.75' to each side of the equation. 15.75 + -15.75 + 20x = 14.81 + -15.75 Combine like terms: 15.75 + -15.75 = 0.00 0.00 + 20x = 14.81 + -15.75 20x = 14.81 + -15.75 Combine like terms: 14.81 + -15.75 = -0.94 20x = -0.94 Divide each side by '20'. x = -0.047 Simplifying x = -0.047
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