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Simplifying -4.1x + 4.2 = 1.3x + -11.6 Reorder the terms: 4.2 + -4.1x = 1.3x + -11.6 Reorder the terms: 4.2 + -4.1x = -11.6 + 1.3x Solving 4.2 + -4.1x = -11.6 + 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 + -4.1x + -1.3x = -11.6 + 1.3x + -1.3x Combine like terms: -4.1x + -1.3x = -5.4x 4.2 + -5.4x = -11.6 + 1.3x + -1.3x Combine like terms: 1.3x + -1.3x = 0.0 4.2 + -5.4x = -11.6 + 0.0 4.2 + -5.4x = -11.6 Add '-4.2' to each side of the equation. 4.2 + -4.2 + -5.4x = -11.6 + -4.2 Combine like terms: 4.2 + -4.2 = 0.0 0.0 + -5.4x = -11.6 + -4.2 -5.4x = -11.6 + -4.2 Combine like terms: -11.6 + -4.2 = -15.8 -5.4x = -15.8 Divide each side by '-5.4'. x = 2.925925926 Simplifying x = 2.925925926
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