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Simplifying 17x + -1(5x + -6) = 11x + -9 + -7 Reorder the terms: 17x + -1(-6 + 5x) = 11x + -9 + -7 17x + (-6 * -1 + 5x * -1) = 11x + -9 + -7 17x + (6 + -5x) = 11x + -9 + -7 Reorder the terms: 6 + 17x + -5x = 11x + -9 + -7 Combine like terms: 17x + -5x = 12x 6 + 12x = 11x + -9 + -7 Reorder the terms: 6 + 12x = -9 + -7 + 11x Combine like terms: -9 + -7 = -16 6 + 12x = -16 + 11x Solving 6 + 12x = -16 + 11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11x' to each side of the equation. 6 + 12x + -11x = -16 + 11x + -11x Combine like terms: 12x + -11x = 1x 6 + 1x = -16 + 11x + -11x Combine like terms: 11x + -11x = 0 6 + 1x = -16 + 0 6 + 1x = -16 Add '-6' to each side of the equation. 6 + -6 + 1x = -16 + -6 Combine like terms: 6 + -6 = 0 0 + 1x = -16 + -6 1x = -16 + -6 Combine like terms: -16 + -6 = -22 1x = -22 Divide each side by '1'. x = -22 Simplifying x = -22
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