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Simplifying 0.4x + 4.2 = 1.3 + -1.3x Reorder the terms: 4.2 + 0.4x = 1.3 + -1.3x Solving 4.2 + 0.4x = 1.3 + -1.3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1.3x' to each side of the equation. 4.2 + 0.4x + 1.3x = 1.3 + -1.3x + 1.3x Combine like terms: 0.4x + 1.3x = 1.7x 4.2 + 1.7x = 1.3 + -1.3x + 1.3x Combine like terms: -1.3x + 1.3x = 0.0 4.2 + 1.7x = 1.3 + 0.0 4.2 + 1.7x = 1.3 Add '-4.2' to each side of the equation. 4.2 + -4.2 + 1.7x = 1.3 + -4.2 Combine like terms: 4.2 + -4.2 = 0.0 0.0 + 1.7x = 1.3 + -4.2 1.7x = 1.3 + -4.2 Combine like terms: 1.3 + -4.2 = -2.9 1.7x = -2.9 Divide each side by '1.7'. x = -1.705882353 Simplifying x = -1.705882353
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