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Simplifying 10.5x + 99.52 = -9.5x + 98.74 Reorder the terms: 99.52 + 10.5x = -9.5x + 98.74 Reorder the terms: 99.52 + 10.5x = 98.74 + -9.5x Solving 99.52 + 10.5x = 98.74 + -9.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9.5x' to each side of the equation. 99.52 + 10.5x + 9.5x = 98.74 + -9.5x + 9.5x Combine like terms: 10.5x + 9.5x = 20x 99.52 + 20x = 98.74 + -9.5x + 9.5x Combine like terms: -9.5x + 9.5x = 0.0 99.52 + 20x = 98.74 + 0.0 99.52 + 20x = 98.74 Add '-99.52' to each side of the equation. 99.52 + -99.52 + 20x = 98.74 + -99.52 Combine like terms: 99.52 + -99.52 = 0.00 0.00 + 20x = 98.74 + -99.52 20x = 98.74 + -99.52 Combine like terms: 98.74 + -99.52 = -0.78 20x = -0.78 Divide each side by '20'. x = -0.039 Simplifying x = -0.039
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