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Simplifying 8x + 17 = 4x + 97 Reorder the terms: 17 + 8x = 4x + 97 Reorder the terms: 17 + 8x = 97 + 4x Solving 17 + 8x = 97 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 17 + 8x + -4x = 97 + 4x + -4x Combine like terms: 8x + -4x = 4x 17 + 4x = 97 + 4x + -4x Combine like terms: 4x + -4x = 0 17 + 4x = 97 + 0 17 + 4x = 97 Add '-17' to each side of the equation. 17 + -17 + 4x = 97 + -17 Combine like terms: 17 + -17 = 0 0 + 4x = 97 + -17 4x = 97 + -17 Combine like terms: 97 + -17 = 80 4x = 80 Divide each side by '4'. x = 20 Simplifying x = 20
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