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Simplifying 3.82x + 4 = 14.5924 + 2x Reorder the terms: 4 + 3.82x = 14.5924 + 2x Solving 4 + 3.82x = 14.5924 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 4 + 3.82x + -2x = 14.5924 + 2x + -2x Combine like terms: 3.82x + -2x = 1.82x 4 + 1.82x = 14.5924 + 2x + -2x Combine like terms: 2x + -2x = 0 4 + 1.82x = 14.5924 + 0 4 + 1.82x = 14.5924 Add '-4' to each side of the equation. 4 + -4 + 1.82x = 14.5924 + -4 Combine like terms: 4 + -4 = 0 0 + 1.82x = 14.5924 + -4 1.82x = 14.5924 + -4 Combine like terms: 14.5924 + -4 = 10.5924 1.82x = 10.5924 Divide each side by '1.82'. x = 5.82 Simplifying x = 5.82
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