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Simplifying x + 97 = 7(x + 7) Reorder the terms: 97 + x = 7(x + 7) Reorder the terms: 97 + x = 7(7 + x) 97 + x = (7 * 7 + x * 7) 97 + x = (49 + 7x) Solving 97 + x = 49 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 97 + x + -7x = 49 + 7x + -7x Combine like terms: x + -7x = -6x 97 + -6x = 49 + 7x + -7x Combine like terms: 7x + -7x = 0 97 + -6x = 49 + 0 97 + -6x = 49 Add '-97' to each side of the equation. 97 + -97 + -6x = 49 + -97 Combine like terms: 97 + -97 = 0 0 + -6x = 49 + -97 -6x = 49 + -97 Combine like terms: 49 + -97 = -48 -6x = -48 Divide each side by '-6'. x = 8 Simplifying x = 8
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