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Simplifying 0.5x + -2.1 = 3.1x + 2.5 Reorder the terms: -2.1 + 0.5x = 3.1x + 2.5 Reorder the terms: -2.1 + 0.5x = 2.5 + 3.1x Solving -2.1 + 0.5x = 2.5 + 3.1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3.1x' to each side of the equation. -2.1 + 0.5x + -3.1x = 2.5 + 3.1x + -3.1x Combine like terms: 0.5x + -3.1x = -2.6x -2.1 + -2.6x = 2.5 + 3.1x + -3.1x Combine like terms: 3.1x + -3.1x = 0.0 -2.1 + -2.6x = 2.5 + 0.0 -2.1 + -2.6x = 2.5 Add '2.1' to each side of the equation. -2.1 + 2.1 + -2.6x = 2.5 + 2.1 Combine like terms: -2.1 + 2.1 = 0.0 0.0 + -2.6x = 2.5 + 2.1 -2.6x = 2.5 + 2.1 Combine like terms: 2.5 + 2.1 = 4.6 -2.6x = 4.6 Divide each side by '-2.6'. x = -1.769230769 Simplifying x = -1.769230769
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