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Simplifying 5.6x + 98 = 8.1x + 38 Reorder the terms: 98 + 5.6x = 8.1x + 38 Reorder the terms: 98 + 5.6x = 38 + 8.1x Solving 98 + 5.6x = 38 + 8.1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8.1x' to each side of the equation. 98 + 5.6x + -8.1x = 38 + 8.1x + -8.1x Combine like terms: 5.6x + -8.1x = -2.5x 98 + -2.5x = 38 + 8.1x + -8.1x Combine like terms: 8.1x + -8.1x = 0.0 98 + -2.5x = 38 + 0.0 98 + -2.5x = 38 Add '-98' to each side of the equation. 98 + -98 + -2.5x = 38 + -98 Combine like terms: 98 + -98 = 0 0 + -2.5x = 38 + -98 -2.5x = 38 + -98 Combine like terms: 38 + -98 = -60 -2.5x = -60 Divide each side by '-2.5'. x = 24 Simplifying x = 24
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