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Simplifying 3x + 0.866 = -3.189x + 0.4x + 7.2339 Reorder the terms: 0.866 + 3x = -3.189x + 0.4x + 7.2339 Reorder the terms: 0.866 + 3x = 7.2339 + -3.189x + 0.4x Combine like terms: -3.189x + 0.4x = -2.789x 0.866 + 3x = 7.2339 + -2.789x Solving 0.866 + 3x = 7.2339 + -2.789x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2.789x' to each side of the equation. 0.866 + 3x + 2.789x = 7.2339 + -2.789x + 2.789x Combine like terms: 3x + 2.789x = 5.789x 0.866 + 5.789x = 7.2339 + -2.789x + 2.789x Combine like terms: -2.789x + 2.789x = 0.000 0.866 + 5.789x = 7.2339 + 0.000 0.866 + 5.789x = 7.2339 Add '-0.866' to each side of the equation. 0.866 + -0.866 + 5.789x = 7.2339 + -0.866 Combine like terms: 0.866 + -0.866 = 0.000 0.000 + 5.789x = 7.2339 + -0.866 5.789x = 7.2339 + -0.866 Combine like terms: 7.2339 + -0.866 = 6.3679 5.789x = 6.3679 Divide each side by '5.789'. x = 1.1 Simplifying x = 1.1
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