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Simplifying 2.8x + 8.1 = 1.5x + 17.2 Reorder the terms: 8.1 + 2.8x = 1.5x + 17.2 Reorder the terms: 8.1 + 2.8x = 17.2 + 1.5x Solving 8.1 + 2.8x = 17.2 + 1.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.5x' to each side of the equation. 8.1 + 2.8x + -1.5x = 17.2 + 1.5x + -1.5x Combine like terms: 2.8x + -1.5x = 1.3x 8.1 + 1.3x = 17.2 + 1.5x + -1.5x Combine like terms: 1.5x + -1.5x = 0.0 8.1 + 1.3x = 17.2 + 0.0 8.1 + 1.3x = 17.2 Add '-8.1' to each side of the equation. 8.1 + -8.1 + 1.3x = 17.2 + -8.1 Combine like terms: 8.1 + -8.1 = 0.0 0.0 + 1.3x = 17.2 + -8.1 1.3x = 17.2 + -8.1 Combine like terms: 17.2 + -8.1 = 9.1 1.3x = 9.1 Divide each side by '1.3'. x = 7 Simplifying x = 7
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