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