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Simplifying 10.8x + 47.86 = -9.2x + 47.40 Reorder the terms: 47.86 + 10.8x = -9.2x + 47.40 Reorder the terms: 47.86 + 10.8x = 47.40 + -9.2x Solving 47.86 + 10.8x = 47.40 + -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. 47.86 + 10.8x + 9.2x = 47.40 + -9.2x + 9.2x Combine like terms: 10.8x + 9.2x = 20x 47.86 + 20x = 47.40 + -9.2x + 9.2x Combine like terms: -9.2x + 9.2x = 0.0 47.86 + 20x = 47.40 + 0.0 47.86 + 20x = 47.40 Add '-47.86' to each side of the equation. 47.86 + -47.86 + 20x = 47.40 + -47.86 Combine like terms: 47.86 + -47.86 = 0.00 0.00 + 20x = 47.40 + -47.86 20x = 47.40 + -47.86 Combine like terms: 47.40 + -47.86 = -0.46 20x = -0.46 Divide each side by '20'. x = -0.023 Simplifying x = -0.023
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