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Simplifying 5.6x + 92 = 8.1x + 37 Reorder the terms: 92 + 5.6x = 8.1x + 37 Reorder the terms: 92 + 5.6x = 37 + 8.1x Solving 92 + 5.6x = 37 + 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. 92 + 5.6x + -8.1x = 37 + 8.1x + -8.1x Combine like terms: 5.6x + -8.1x = -2.5x 92 + -2.5x = 37 + 8.1x + -8.1x Combine like terms: 8.1x + -8.1x = 0.0 92 + -2.5x = 37 + 0.0 92 + -2.5x = 37 Add '-92' to each side of the equation. 92 + -92 + -2.5x = 37 + -92 Combine like terms: 92 + -92 = 0 0 + -2.5x = 37 + -92 -2.5x = 37 + -92 Combine like terms: 37 + -92 = -55 -2.5x = -55 Divide each side by '-2.5'. x = 22 Simplifying x = 22
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