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Simplifying 0.4x + -1.3 = 4.1x + 1.9 Reorder the terms: -1.3 + 0.4x = 4.1x + 1.9 Reorder the terms: -1.3 + 0.4x = 1.9 + 4.1x Solving -1.3 + 0.4x = 1.9 + 4.1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4.1x' to each side of the equation. -1.3 + 0.4x + -4.1x = 1.9 + 4.1x + -4.1x Combine like terms: 0.4x + -4.1x = -3.7x -1.3 + -3.7x = 1.9 + 4.1x + -4.1x Combine like terms: 4.1x + -4.1x = 0.0 -1.3 + -3.7x = 1.9 + 0.0 -1.3 + -3.7x = 1.9 Add '1.3' to each side of the equation. -1.3 + 1.3 + -3.7x = 1.9 + 1.3 Combine like terms: -1.3 + 1.3 = 0.0 0.0 + -3.7x = 1.9 + 1.3 -3.7x = 1.9 + 1.3 Combine like terms: 1.9 + 1.3 = 3.2 -3.7x = 3.2 Divide each side by '-3.7'. x = -0.8648648649 Simplifying x = -0.8648648649
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