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Simplifying 16x + -1(3x + -1(6 + -9x)) = 30x + (-1(3x + 2) + -1(x + 3)) 16x + -1(3x + (6 * -1 + -9x * -1)) = 30x + (-1(3x + 2) + -1(x + 3)) 16x + -1(3x + (-6 + 9x)) = 30x + (-1(3x + 2) + -1(x + 3)) Reorder the terms: 16x + -1(-6 + 3x + 9x) = 30x + (-1(3x + 2) + -1(x + 3)) Combine like terms: 3x + 9x = 12x 16x + -1(-6 + 12x) = 30x + (-1(3x + 2) + -1(x + 3)) 16x + (-6 * -1 + 12x * -1) = 30x + (-1(3x + 2) + -1(x + 3)) 16x + (6 + -12x) = 30x + (-1(3x + 2) + -1(x + 3)) Reorder the terms: 6 + 16x + -12x = 30x + (-1(3x + 2) + -1(x + 3)) Combine like terms: 16x + -12x = 4x 6 + 4x = 30x + (-1(3x + 2) + -1(x + 3)) Reorder the terms: 6 + 4x = 30x + (-1(2 + 3x) + -1(x + 3)) 6 + 4x = 30x + ((2 * -1 + 3x * -1) + -1(x + 3)) 6 + 4x = 30x + ((-2 + -3x) + -1(x + 3)) Reorder the terms: 6 + 4x = 30x + (-2 + -3x + -1(3 + x)) 6 + 4x = 30x + (-2 + -3x + (3 * -1 + x * -1)) 6 + 4x = 30x + (-2 + -3x + (-3 + -1x)) Reorder the terms: 6 + 4x = 30x + (-2 + -3 + -3x + -1x) Combine like terms: -2 + -3 = -5 6 + 4x = 30x + (-5 + -3x + -1x) Combine like terms: -3x + -1x = -4x 6 + 4x = 30x + (-5 + -4x) Remove parenthesis around (-5 + -4x) 6 + 4x = 30x + -5 + -4x Reorder the terms: 6 + 4x = -5 + 30x + -4x Combine like terms: 30x + -4x = 26x 6 + 4x = -5 + 26x Solving 6 + 4x = -5 + 26x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-26x' to each side of the equation. 6 + 4x + -26x = -5 + 26x + -26x Combine like terms: 4x + -26x = -22x 6 + -22x = -5 + 26x + -26x Combine like terms: 26x + -26x = 0 6 + -22x = -5 + 0 6 + -22x = -5 Add '-6' to each side of the equation. 6 + -6 + -22x = -5 + -6 Combine like terms: 6 + -6 = 0 0 + -22x = -5 + -6 -22x = -5 + -6 Combine like terms: -5 + -6 = -11 -22x = -11 Divide each side by '-22'. x = 0.5 Simplifying x = 0.5
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