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Simplifying 6.1 + 8.6x = 82.9 + x Solving 6.1 + 8.6x = 82.9 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 6.1 + 8.6x + -1x = 82.9 + x + -1x Combine like terms: 8.6x + -1x = 7.6x 6.1 + 7.6x = 82.9 + x + -1x Combine like terms: x + -1x = 0 6.1 + 7.6x = 82.9 + 0 6.1 + 7.6x = 82.9 Add '-6.1' to each side of the equation. 6.1 + -6.1 + 7.6x = 82.9 + -6.1 Combine like terms: 6.1 + -6.1 = 0.0 0.0 + 7.6x = 82.9 + -6.1 7.6x = 82.9 + -6.1 Combine like terms: 82.9 + -6.1 = 76.8 7.6x = 76.8 Divide each side by '7.6'. x = 10.10526316 Simplifying x = 10.10526316
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