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Simplifying 6.1x + 2.2 = 0.5x + -3.4 Reorder the terms: 2.2 + 6.1x = 0.5x + -3.4 Reorder the terms: 2.2 + 6.1x = -3.4 + 0.5x Solving 2.2 + 6.1x = -3.4 + 0.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.5x' to each side of the equation. 2.2 + 6.1x + -0.5x = -3.4 + 0.5x + -0.5x Combine like terms: 6.1x + -0.5x = 5.6x 2.2 + 5.6x = -3.4 + 0.5x + -0.5x Combine like terms: 0.5x + -0.5x = 0.0 2.2 + 5.6x = -3.4 + 0.0 2.2 + 5.6x = -3.4 Add '-2.2' to each side of the equation. 2.2 + -2.2 + 5.6x = -3.4 + -2.2 Combine like terms: 2.2 + -2.2 = 0.0 0.0 + 5.6x = -3.4 + -2.2 5.6x = -3.4 + -2.2 Combine like terms: -3.4 + -2.2 = -5.6 5.6x = -5.6 Divide each side by '5.6'. x = -1 Simplifying x = -1
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