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Simplifying 9 + 17x + -6 = 9x + 101 + -6x Reorder the terms: 9 + -6 + 17x = 9x + 101 + -6x Combine like terms: 9 + -6 = 3 3 + 17x = 9x + 101 + -6x Reorder the terms: 3 + 17x = 101 + 9x + -6x Combine like terms: 9x + -6x = 3x 3 + 17x = 101 + 3x Solving 3 + 17x = 101 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 3 + 17x + -3x = 101 + 3x + -3x Combine like terms: 17x + -3x = 14x 3 + 14x = 101 + 3x + -3x Combine like terms: 3x + -3x = 0 3 + 14x = 101 + 0 3 + 14x = 101 Add '-3' to each side of the equation. 3 + -3 + 14x = 101 + -3 Combine like terms: 3 + -3 = 0 0 + 14x = 101 + -3 14x = 101 + -3 Combine like terms: 101 + -3 = 98 14x = 98 Divide each side by '14'. x = 7 Simplifying x = 7
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