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Simplifying 8x + -35 = x + 42 Reorder the terms: -35 + 8x = x + 42 Reorder the terms: -35 + 8x = 42 + x Solving -35 + 8x = 42 + 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. -35 + 8x + -1x = 42 + x + -1x Combine like terms: 8x + -1x = 7x -35 + 7x = 42 + x + -1x Combine like terms: x + -1x = 0 -35 + 7x = 42 + 0 -35 + 7x = 42 Add '35' to each side of the equation. -35 + 35 + 7x = 42 + 35 Combine like terms: -35 + 35 = 0 0 + 7x = 42 + 35 7x = 42 + 35 Combine like terms: 42 + 35 = 77 7x = 77 Divide each side by '7'. x = 11 Simplifying x = 11
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