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Simplifying 97 + 7x = 105 + 6x Solving 97 + 7x = 105 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 97 + 7x + -6x = 105 + 6x + -6x Combine like terms: 7x + -6x = 1x 97 + 1x = 105 + 6x + -6x Combine like terms: 6x + -6x = 0 97 + 1x = 105 + 0 97 + 1x = 105 Add '-97' to each side of the equation. 97 + -97 + 1x = 105 + -97 Combine like terms: 97 + -97 = 0 0 + 1x = 105 + -97 1x = 105 + -97 Combine like terms: 105 + -97 = 8 1x = 8 Divide each side by '1'. x = 8 Simplifying x = 8
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