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Simplifying 6 + 17x + -5 = 9x + 113 + -6x Reorder the terms: 6 + -5 + 17x = 9x + 113 + -6x Combine like terms: 6 + -5 = 1 1 + 17x = 9x + 113 + -6x Reorder the terms: 1 + 17x = 113 + 9x + -6x Combine like terms: 9x + -6x = 3x 1 + 17x = 113 + 3x Solving 1 + 17x = 113 + 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. 1 + 17x + -3x = 113 + 3x + -3x Combine like terms: 17x + -3x = 14x 1 + 14x = 113 + 3x + -3x Combine like terms: 3x + -3x = 0 1 + 14x = 113 + 0 1 + 14x = 113 Add '-1' to each side of the equation. 1 + -1 + 14x = 113 + -1 Combine like terms: 1 + -1 = 0 0 + 14x = 113 + -1 14x = 113 + -1 Combine like terms: 113 + -1 = 112 14x = 112 Divide each side by '14'. x = 8 Simplifying x = 8
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