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Simplifying 97 = 2x + 6x + 1 Reorder the terms: 97 = 1 + 2x + 6x Combine like terms: 2x + 6x = 8x 97 = 1 + 8x Solving 97 = 1 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 97 + -8x = 1 + 8x + -8x Combine like terms: 8x + -8x = 0 97 + -8x = 1 + 0 97 + -8x = 1 Add '-97' to each side of the equation. 97 + -97 + -8x = 1 + -97 Combine like terms: 97 + -97 = 0 0 + -8x = 1 + -97 -8x = 1 + -97 Combine like terms: 1 + -97 = -96 -8x = -96 Divide each side by '-8'. x = 12 Simplifying x = 12
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