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Simplifying 16x + -3x + -1(6 + -9x) = 29x + (-3x + 3) + -1(x + 2) 16x + -3x + (6 * -1 + -9x * -1) = 29x + (-3x + 3) + -1(x + 2) 16x + -3x + (-6 + 9x) = 29x + (-3x + 3) + -1(x + 2) Reorder the terms: -6 + 16x + -3x + 9x = 29x + (-3x + 3) + -1(x + 2) Combine like terms: 16x + -3x = 13x -6 + 13x + 9x = 29x + (-3x + 3) + -1(x + 2) Combine like terms: 13x + 9x = 22x -6 + 22x = 29x + (-3x + 3) + -1(x + 2) Reorder the terms: -6 + 22x = 29x + (3 + -3x) + -1(x + 2) Remove parenthesis around (3 + -3x) -6 + 22x = 29x + 3 + -3x + -1(x + 2) Reorder the terms: -6 + 22x = 29x + 3 + -3x + -1(2 + x) -6 + 22x = 29x + 3 + -3x + (2 * -1 + x * -1) -6 + 22x = 29x + 3 + -3x + (-2 + -1x) Reorder the terms: -6 + 22x = 3 + -2 + 29x + -3x + -1x Combine like terms: 3 + -2 = 1 -6 + 22x = 1 + 29x + -3x + -1x Combine like terms: 29x + -3x = 26x -6 + 22x = 1 + 26x + -1x Combine like terms: 26x + -1x = 25x -6 + 22x = 1 + 25x Solving -6 + 22x = 1 + 25x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-25x' to each side of the equation. -6 + 22x + -25x = 1 + 25x + -25x Combine like terms: 22x + -25x = -3x -6 + -3x = 1 + 25x + -25x Combine like terms: 25x + -25x = 0 -6 + -3x = 1 + 0 -6 + -3x = 1 Add '6' to each side of the equation. -6 + 6 + -3x = 1 + 6 Combine like terms: -6 + 6 = 0 0 + -3x = 1 + 6 -3x = 1 + 6 Combine like terms: 1 + 6 = 7 -3x = 7 Divide each side by '-3'. x = -2.333333333 Simplifying x = -2.333333333
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