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Simplifying -49 + 6x = 35 + -1x Solving -49 + 6x = 35 + -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. -49 + 6x + x = 35 + -1x + x Combine like terms: 6x + x = 7x -49 + 7x = 35 + -1x + x Combine like terms: -1x + x = 0 -49 + 7x = 35 + 0 -49 + 7x = 35 Add '49' to each side of the equation. -49 + 49 + 7x = 35 + 49 Combine like terms: -49 + 49 = 0 0 + 7x = 35 + 49 7x = 35 + 49 Combine like terms: 35 + 49 = 84 7x = 84 Divide each side by '7'. x = 12 Simplifying x = 12
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