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Simplifying 3.1x + -35 = 2.6x + 6 Reorder the terms: -35 + 3.1x = 2.6x + 6 Reorder the terms: -35 + 3.1x = 6 + 2.6x Solving -35 + 3.1x = 6 + 2.6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2.6x' to each side of the equation. -35 + 3.1x + -2.6x = 6 + 2.6x + -2.6x Combine like terms: 3.1x + -2.6x = 0.5x -35 + 0.5x = 6 + 2.6x + -2.6x Combine like terms: 2.6x + -2.6x = 0.0 -35 + 0.5x = 6 + 0.0 -35 + 0.5x = 6 Add '35' to each side of the equation. -35 + 35 + 0.5x = 6 + 35 Combine like terms: -35 + 35 = 0 0 + 0.5x = 6 + 35 0.5x = 6 + 35 Combine like terms: 6 + 35 = 41 0.5x = 41 Divide each side by '0.5'. x = 82 Simplifying x = 82
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