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Simplifying 10.8x + 46.12 = -9.2x + 45.22 Reorder the terms: 46.12 + 10.8x = -9.2x + 45.22 Reorder the terms: 46.12 + 10.8x = 45.22 + -9.2x Solving 46.12 + 10.8x = 45.22 + -9.2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9.2x' to each side of the equation. 46.12 + 10.8x + 9.2x = 45.22 + -9.2x + 9.2x Combine like terms: 10.8x + 9.2x = 20x 46.12 + 20x = 45.22 + -9.2x + 9.2x Combine like terms: -9.2x + 9.2x = 0.0 46.12 + 20x = 45.22 + 0.0 46.12 + 20x = 45.22 Add '-46.12' to each side of the equation. 46.12 + -46.12 + 20x = 45.22 + -46.12 Combine like terms: 46.12 + -46.12 = 0.00 0.00 + 20x = 45.22 + -46.12 20x = 45.22 + -46.12 Combine like terms: 45.22 + -46.12 = -0.9 20x = -0.9 Divide each side by '20'. x = -0.045 Simplifying x = -0.045
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