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Simplifying x + -37 = 82 + -6x Reorder the terms: -37 + x = 82 + -6x Solving -37 + x = 82 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. -37 + x + 6x = 82 + -6x + 6x Combine like terms: x + 6x = 7x -37 + 7x = 82 + -6x + 6x Combine like terms: -6x + 6x = 0 -37 + 7x = 82 + 0 -37 + 7x = 82 Add '37' to each side of the equation. -37 + 37 + 7x = 82 + 37 Combine like terms: -37 + 37 = 0 0 + 7x = 82 + 37 7x = 82 + 37 Combine like terms: 82 + 37 = 119 7x = 119 Divide each side by '7'. x = 17 Simplifying x = 17
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