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Simplifying 9x + -1(4x + -6) = 17 + 2(3x + 8) Reorder the terms: 9x + -1(-6 + 4x) = 17 + 2(3x + 8) 9x + (-6 * -1 + 4x * -1) = 17 + 2(3x + 8) 9x + (6 + -4x) = 17 + 2(3x + 8) Reorder the terms: 6 + 9x + -4x = 17 + 2(3x + 8) Combine like terms: 9x + -4x = 5x 6 + 5x = 17 + 2(3x + 8) Reorder the terms: 6 + 5x = 17 + 2(8 + 3x) 6 + 5x = 17 + (8 * 2 + 3x * 2) 6 + 5x = 17 + (16 + 6x) Combine like terms: 17 + 16 = 33 6 + 5x = 33 + 6x Solving 6 + 5x = 33 + 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 + 5x + -6x = 33 + 6x + -6x Combine like terms: 5x + -6x = -1x 6 + -1x = 33 + 6x + -6x Combine like terms: 6x + -6x = 0 6 + -1x = 33 + 0 6 + -1x = 33 Add '-6' to each side of the equation. 6 + -6 + -1x = 33 + -6 Combine like terms: 6 + -6 = 0 0 + -1x = 33 + -6 -1x = 33 + -6 Combine like terms: 33 + -6 = 27 -1x = 27 Divide each side by '-1'. x = -27 Simplifying x = -27
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