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Simplifying -6x + 2.5 + 8x + 1.2 = 30.9 Reorder the terms: 2.5 + 1.2 + -6x + 8x = 30.9 Combine like terms: 2.5 + 1.2 = 3.7 3.7 + -6x + 8x = 30.9 Combine like terms: -6x + 8x = 2x 3.7 + 2x = 30.9 Solving 3.7 + 2x = 30.9 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3.7' to each side of the equation. 3.7 + -3.7 + 2x = 30.9 + -3.7 Combine like terms: 3.7 + -3.7 = 0.0 0.0 + 2x = 30.9 + -3.7 2x = 30.9 + -3.7 Combine like terms: 30.9 + -3.7 = 27.2 2x = 27.2 Divide each side by '2'. x = 13.6 Simplifying x = 13.6
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