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Simplifying -5.83x + 5.3666 = 2.3 + -3.14x Reorder the terms: 5.3666 + -5.83x = 2.3 + -3.14x Solving 5.3666 + -5.83x = 2.3 + -3.14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3.14x' to each side of the equation. 5.3666 + -5.83x + 3.14x = 2.3 + -3.14x + 3.14x Combine like terms: -5.83x + 3.14x = -2.69x 5.3666 + -2.69x = 2.3 + -3.14x + 3.14x Combine like terms: -3.14x + 3.14x = 0.00 5.3666 + -2.69x = 2.3 + 0.00 5.3666 + -2.69x = 2.3 Add '-5.3666' to each side of the equation. 5.3666 + -5.3666 + -2.69x = 2.3 + -5.3666 Combine like terms: 5.3666 + -5.3666 = 0.0000 0.0000 + -2.69x = 2.3 + -5.3666 -2.69x = 2.3 + -5.3666 Combine like terms: 2.3 + -5.3666 = -3.0666 -2.69x = -3.0666 Divide each side by '-2.69'. x = 1.14 Simplifying x = 1.14
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