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Simplifying 6 = 17 + -1(3x + 5) + 9x Reorder the terms: 6 = 17 + -1(5 + 3x) + 9x 6 = 17 + (5 * -1 + 3x * -1) + 9x 6 = 17 + (-5 + -3x) + 9x Combine like terms: 17 + -5 = 12 6 = 12 + -3x + 9x Combine like terms: -3x + 9x = 6x 6 = 12 + 6x Solving 6 = 12 + 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. 6 + -6x = 12 + 6x + -6x Combine like terms: 6x + -6x = 0 6 + -6x = 12 + 0 6 + -6x = 12 Add '-6' to each side of the equation. 6 + -6 + -6x = 12 + -6 Combine like terms: 6 + -6 = 0 0 + -6x = 12 + -6 -6x = 12 + -6 Combine like terms: 12 + -6 = 6 -6x = 6 Divide each side by '-6'. x = -1 Simplifying x = -1
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