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Simplifying 2.6x + 51.5 = 7.1 + -8.5x Reorder the terms: 51.5 + 2.6x = 7.1 + -8.5x Solving 51.5 + 2.6x = 7.1 + -8.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8.5x' to each side of the equation. 51.5 + 2.6x + 8.5x = 7.1 + -8.5x + 8.5x Combine like terms: 2.6x + 8.5x = 11.1x 51.5 + 11.1x = 7.1 + -8.5x + 8.5x Combine like terms: -8.5x + 8.5x = 0.0 51.5 + 11.1x = 7.1 + 0.0 51.5 + 11.1x = 7.1 Add '-51.5' to each side of the equation. 51.5 + -51.5 + 11.1x = 7.1 + -51.5 Combine like terms: 51.5 + -51.5 = 0.0 0.0 + 11.1x = 7.1 + -51.5 11.1x = 7.1 + -51.5 Combine like terms: 7.1 + -51.5 = -44.4 11.1x = -44.4 Divide each side by '11.1'. x = -4 Simplifying x = -4
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