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Simplifying -3.1x + 5.6 = -4.6x + -0.4 Reorder the terms: 5.6 + -3.1x = -4.6x + -0.4 Reorder the terms: 5.6 + -3.1x = -0.4 + -4.6x Solving 5.6 + -3.1x = -0.4 + -4.6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4.6x' to each side of the equation. 5.6 + -3.1x + 4.6x = -0.4 + -4.6x + 4.6x Combine like terms: -3.1x + 4.6x = 1.5x 5.6 + 1.5x = -0.4 + -4.6x + 4.6x Combine like terms: -4.6x + 4.6x = 0.0 5.6 + 1.5x = -0.4 + 0.0 5.6 + 1.5x = -0.4 Add '-5.6' to each side of the equation. 5.6 + -5.6 + 1.5x = -0.4 + -5.6 Combine like terms: 5.6 + -5.6 = 0.0 0.0 + 1.5x = -0.4 + -5.6 1.5x = -0.4 + -5.6 Combine like terms: -0.4 + -5.6 = -6 1.5x = -6 Divide each side by '1.5'. x = -4 Simplifying x = -4
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