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Simplifying 0.4x + -1.6 = 3.1x + 2.1 Reorder the terms: -1.6 + 0.4x = 3.1x + 2.1 Reorder the terms: -1.6 + 0.4x = 2.1 + 3.1x Solving -1.6 + 0.4x = 2.1 + 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. -1.6 + 0.4x + -3.1x = 2.1 + 3.1x + -3.1x Combine like terms: 0.4x + -3.1x = -2.7x -1.6 + -2.7x = 2.1 + 3.1x + -3.1x Combine like terms: 3.1x + -3.1x = 0.0 -1.6 + -2.7x = 2.1 + 0.0 -1.6 + -2.7x = 2.1 Add '1.6' to each side of the equation. -1.6 + 1.6 + -2.7x = 2.1 + 1.6 Combine like terms: -1.6 + 1.6 = 0.0 0.0 + -2.7x = 2.1 + 1.6 -2.7x = 2.1 + 1.6 Combine like terms: 2.1 + 1.6 = 3.7 -2.7x = 3.7 Divide each side by '-2.7'. x = -1.37037037 Simplifying x = -1.37037037
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