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Simplifying 10.9x + 32.05 = -9.1x + 31.53 Reorder the terms: 32.05 + 10.9x = -9.1x + 31.53 Reorder the terms: 32.05 + 10.9x = 31.53 + -9.1x Solving 32.05 + 10.9x = 31.53 + -9.1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9.1x' to each side of the equation. 32.05 + 10.9x + 9.1x = 31.53 + -9.1x + 9.1x Combine like terms: 10.9x + 9.1x = 20x 32.05 + 20x = 31.53 + -9.1x + 9.1x Combine like terms: -9.1x + 9.1x = 0.0 32.05 + 20x = 31.53 + 0.0 32.05 + 20x = 31.53 Add '-32.05' to each side of the equation. 32.05 + -32.05 + 20x = 31.53 + -32.05 Combine like terms: 32.05 + -32.05 = 0.00 0.00 + 20x = 31.53 + -32.05 20x = 31.53 + -32.05 Combine like terms: 31.53 + -32.05 = -0.52 20x = -0.52 Divide each side by '20'. x = -0.026 Simplifying x = -0.026
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