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Simplifying -17 + -5x = -2(8x + -5) + 6 Reorder the terms: -17 + -5x = -2(-5 + 8x) + 6 -17 + -5x = (-5 * -2 + 8x * -2) + 6 -17 + -5x = (10 + -16x) + 6 Reorder the terms: -17 + -5x = 10 + 6 + -16x Combine like terms: 10 + 6 = 16 -17 + -5x = 16 + -16x Solving -17 + -5x = 16 + -16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '16x' to each side of the equation. -17 + -5x + 16x = 16 + -16x + 16x Combine like terms: -5x + 16x = 11x -17 + 11x = 16 + -16x + 16x Combine like terms: -16x + 16x = 0 -17 + 11x = 16 + 0 -17 + 11x = 16 Add '17' to each side of the equation. -17 + 17 + 11x = 16 + 17 Combine like terms: -17 + 17 = 0 0 + 11x = 16 + 17 11x = 16 + 17 Combine like terms: 16 + 17 = 33 11x = 33 Divide each side by '11'. x = 3 Simplifying x = 3
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