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Simplifying 3.1x + -34 = 1.5x + 6 Reorder the terms: -34 + 3.1x = 1.5x + 6 Reorder the terms: -34 + 3.1x = 6 + 1.5x Solving -34 + 3.1x = 6 + 1.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.5x' to each side of the equation. -34 + 3.1x + -1.5x = 6 + 1.5x + -1.5x Combine like terms: 3.1x + -1.5x = 1.6x -34 + 1.6x = 6 + 1.5x + -1.5x Combine like terms: 1.5x + -1.5x = 0.0 -34 + 1.6x = 6 + 0.0 -34 + 1.6x = 6 Add '34' to each side of the equation. -34 + 34 + 1.6x = 6 + 34 Combine like terms: -34 + 34 = 0 0 + 1.6x = 6 + 34 1.6x = 6 + 34 Combine like terms: 6 + 34 = 40 1.6x = 40 Divide each side by '1.6'. x = 25 Simplifying x = 25
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