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Simplifying 8.2 + 2.6x = x + 29.6 Reorder the terms: 8.2 + 2.6x = 29.6 + x Solving 8.2 + 2.6x = 29.6 + 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. 8.2 + 2.6x + -1x = 29.6 + x + -1x Combine like terms: 2.6x + -1x = 1.6x 8.2 + 1.6x = 29.6 + x + -1x Combine like terms: x + -1x = 0 8.2 + 1.6x = 29.6 + 0 8.2 + 1.6x = 29.6 Add '-8.2' to each side of the equation. 8.2 + -8.2 + 1.6x = 29.6 + -8.2 Combine like terms: 8.2 + -8.2 = 0.0 0.0 + 1.6x = 29.6 + -8.2 1.6x = 29.6 + -8.2 Combine like terms: 29.6 + -8.2 = 21.4 1.6x = 21.4 Divide each side by '1.6'. x = 13.375 Simplifying x = 13.375
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