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Simplifying -5x + -42 + 12x = 77 Reorder the terms: -42 + -5x + 12x = 77 Combine like terms: -5x + 12x = 7x -42 + 7x = 77 Solving -42 + 7x = 77 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '42' to each side of the equation. -42 + 42 + 7x = 77 + 42 Combine like terms: -42 + 42 = 0 0 + 7x = 77 + 42 7x = 77 + 42 Combine like terms: 77 + 42 = 119 7x = 119 Divide each side by '7'. x = 17 Simplifying x = 17
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