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Simplifying 10.8x + 78.74 = -9.2x + 78.56 Reorder the terms: 78.74 + 10.8x = -9.2x + 78.56 Reorder the terms: 78.74 + 10.8x = 78.56 + -9.2x Solving 78.74 + 10.8x = 78.56 + -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. 78.74 + 10.8x + 9.2x = 78.56 + -9.2x + 9.2x Combine like terms: 10.8x + 9.2x = 20x 78.74 + 20x = 78.56 + -9.2x + 9.2x Combine like terms: -9.2x + 9.2x = 0.0 78.74 + 20x = 78.56 + 0.0 78.74 + 20x = 78.56 Add '-78.74' to each side of the equation. 78.74 + -78.74 + 20x = 78.56 + -78.74 Combine like terms: 78.74 + -78.74 = 0.00 0.00 + 20x = 78.56 + -78.74 20x = 78.56 + -78.74 Combine like terms: 78.56 + -78.74 = -0.18 20x = -0.18 Divide each side by '20'. x = -0.009 Simplifying x = -0.009
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