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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 = 3.589x 0.866 + 3x = 7.2339 + 3.589x Solving 0.866 + 3x = 7.2339 + 3.589x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3.589x' to each side of the equation. 0.866 + 3x + -3.589x = 7.2339 + 3.589x + -3.589x Combine like terms: 3x + -3.589x = -0.589x 0.866 + -0.589x = 7.2339 + 3.589x + -3.589x Combine like terms: 3.589x + -3.589x = 0.000 0.866 + -0.589x = 7.2339 + 0.000 0.866 + -0.589x = 7.2339 Add '-0.866' to each side of the equation. 0.866 + -0.866 + -0.589x = 7.2339 + -0.866 Combine like terms: 0.866 + -0.866 = 0.000 0.000 + -0.589x = 7.2339 + -0.866 -0.589x = 7.2339 + -0.866 Combine like terms: 7.2339 + -0.866 = 6.3679 -0.589x = 6.3679 Divide each side by '-0.589'. x = -10.81137521 Simplifying x = -10.81137521
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