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Simplifying 9.8x + 77.42 = -10.2x + 76.70 Reorder the terms: 77.42 + 9.8x = -10.2x + 76.70 Reorder the terms: 77.42 + 9.8x = 76.70 + -10.2x Solving 77.42 + 9.8x = 76.70 + -10.2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10.2x' to each side of the equation. 77.42 + 9.8x + 10.2x = 76.70 + -10.2x + 10.2x Combine like terms: 9.8x + 10.2x = 20x 77.42 + 20x = 76.70 + -10.2x + 10.2x Combine like terms: -10.2x + 10.2x = 0.0 77.42 + 20x = 76.70 + 0.0 77.42 + 20x = 76.70 Add '-77.42' to each side of the equation. 77.42 + -77.42 + 20x = 76.70 + -77.42 Combine like terms: 77.42 + -77.42 = 0.00 0.00 + 20x = 76.70 + -77.42 20x = 76.70 + -77.42 Combine like terms: 76.70 + -77.42 = -0.72 20x = -0.72 Divide each side by '20'. x = -0.036 Simplifying x = -0.036
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