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Simplifying 5.4x + 8.2 = 9.8x + -2.8 Reorder the terms: 8.2 + 5.4x = 9.8x + -2.8 Reorder the terms: 8.2 + 5.4x = -2.8 + 9.8x Solving 8.2 + 5.4x = -2.8 + 9.8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9.8x' to each side of the equation. 8.2 + 5.4x + -9.8x = -2.8 + 9.8x + -9.8x Combine like terms: 5.4x + -9.8x = -4.4x 8.2 + -4.4x = -2.8 + 9.8x + -9.8x Combine like terms: 9.8x + -9.8x = 0.0 8.2 + -4.4x = -2.8 + 0.0 8.2 + -4.4x = -2.8 Add '-8.2' to each side of the equation. 8.2 + -8.2 + -4.4x = -2.8 + -8.2 Combine like terms: 8.2 + -8.2 = 0.0 0.0 + -4.4x = -2.8 + -8.2 -4.4x = -2.8 + -8.2 Combine like terms: -2.8 + -8.2 = -11 -4.4x = -11 Divide each side by '-4.4'. x = 2.5 Simplifying x = 2.5
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