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Simplifying 3x + -6 + (9x + -1[6(x + 4) + -9]) = 9(x + 3) Reorder the terms: 3x + -6 + (9x + -1[6(4 + x) + -9]) = 9(x + 3) 3x + -6 + (9x + -1[(4 * 6 + x * 6) + -9]) = 9(x + 3) 3x + -6 + (9x + -1[(24 + 6x) + -9]) = 9(x + 3) Reorder the terms: 3x + -6 + (9x + -1[24 + -9 + 6x]) = 9(x + 3) Combine like terms: 24 + -9 = 15 3x + -6 + (9x + -1[15 + 6x]) = 9(x + 3) 3x + -6 + (9x + [15 * -1 + 6x * -1]) = 9(x + 3) 3x + -6 + (9x + [-15 + -6x]) = 9(x + 3) Reorder the terms: 3x + -6 + (-15 + 9x + -6x) = 9(x + 3) Combine like terms: 9x + -6x = 3x 3x + -6 + (-15 + 3x) = 9(x + 3) Remove parenthesis around (-15 + 3x) 3x + -6 + -15 + 3x = 9(x + 3) Reorder the terms: -6 + -15 + 3x + 3x = 9(x + 3) Combine like terms: -6 + -15 = -21 -21 + 3x + 3x = 9(x + 3) Combine like terms: 3x + 3x = 6x -21 + 6x = 9(x + 3) Reorder the terms: -21 + 6x = 9(3 + x) -21 + 6x = (3 * 9 + x * 9) -21 + 6x = (27 + 9x) Solving -21 + 6x = 27 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. -21 + 6x + -9x = 27 + 9x + -9x Combine like terms: 6x + -9x = -3x -21 + -3x = 27 + 9x + -9x Combine like terms: 9x + -9x = 0 -21 + -3x = 27 + 0 -21 + -3x = 27 Add '21' to each side of the equation. -21 + 21 + -3x = 27 + 21 Combine like terms: -21 + 21 = 0 0 + -3x = 27 + 21 -3x = 27 + 21 Combine like terms: 27 + 21 = 48 -3x = 48 Divide each side by '-3'. x = -16 Simplifying x = -16
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