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Simplifying 2.6x + 34.9 = 6.7 + -11.5x Reorder the terms: 34.9 + 2.6x = 6.7 + -11.5x Solving 34.9 + 2.6x = 6.7 + -11.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '11.5x' to each side of the equation. 34.9 + 2.6x + 11.5x = 6.7 + -11.5x + 11.5x Combine like terms: 2.6x + 11.5x = 14.1x 34.9 + 14.1x = 6.7 + -11.5x + 11.5x Combine like terms: -11.5x + 11.5x = 0.0 34.9 + 14.1x = 6.7 + 0.0 34.9 + 14.1x = 6.7 Add '-34.9' to each side of the equation. 34.9 + -34.9 + 14.1x = 6.7 + -34.9 Combine like terms: 34.9 + -34.9 = 0.0 0.0 + 14.1x = 6.7 + -34.9 14.1x = 6.7 + -34.9 Combine like terms: 6.7 + -34.9 = -28.2 14.1x = -28.2 Divide each side by '14.1'. x = -2 Simplifying x = -2
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