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Simplifying 8x + -42 = 77 + x Reorder the terms: -42 + 8x = 77 + x Solving -42 + 8x = 77 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -42 + 8x + -1x = 77 + x + -1x Combine like terms: 8x + -1x = 7x -42 + 7x = 77 + x + -1x Combine like terms: x + -1x = 0 -42 + 7x = 77 + 0 -42 + 7x = 77 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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