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Simplifying 3.5x + -82 = 1.9x + 6 Reorder the terms: -82 + 3.5x = 1.9x + 6 Reorder the terms: -82 + 3.5x = 6 + 1.9x Solving -82 + 3.5x = 6 + 1.9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.9x' to each side of the equation. -82 + 3.5x + -1.9x = 6 + 1.9x + -1.9x Combine like terms: 3.5x + -1.9x = 1.6x -82 + 1.6x = 6 + 1.9x + -1.9x Combine like terms: 1.9x + -1.9x = 0.0 -82 + 1.6x = 6 + 0.0 -82 + 1.6x = 6 Add '82' to each side of the equation. -82 + 82 + 1.6x = 6 + 82 Combine like terms: -82 + 82 = 0 0 + 1.6x = 6 + 82 1.6x = 6 + 82 Combine like terms: 6 + 82 = 88 1.6x = 88 Divide each side by '1.6'. x = 55 Simplifying x = 55
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