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Simplifying 4x + 17 = 97 + -6x Reorder the terms: 17 + 4x = 97 + -6x Solving 17 + 4x = 97 + -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. 17 + 4x + 6x = 97 + -6x + 6x Combine like terms: 4x + 6x = 10x 17 + 10x = 97 + -6x + 6x Combine like terms: -6x + 6x = 0 17 + 10x = 97 + 0 17 + 10x = 97 Add '-17' to each side of the equation. 17 + -17 + 10x = 97 + -17 Combine like terms: 17 + -17 = 0 0 + 10x = 97 + -17 10x = 97 + -17 Combine like terms: 97 + -17 = 80 10x = 80 Divide each side by '10'. x = 8 Simplifying x = 8
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