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Simplifying -35 + 6x = 14 + -1x Solving -35 + 6x = 14 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -35 + 6x + x = 14 + -1x + x Combine like terms: 6x + x = 7x -35 + 7x = 14 + -1x + x Combine like terms: -1x + x = 0 -35 + 7x = 14 + 0 -35 + 7x = 14 Add '35' to each side of the equation. -35 + 35 + 7x = 14 + 35 Combine like terms: -35 + 35 = 0 0 + 7x = 14 + 35 7x = 14 + 35 Combine like terms: 14 + 35 = 49 7x = 49 Divide each side by '7'. x = 7 Simplifying x = 7
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