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Simplifying 3x + -6 + 9x + -6(x + 4) + -9 = 9(x + 3) Reorder the terms: 3x + -6 + 9x + -6(4 + x) + -9 = 9(x + 3) 3x + -6 + 9x + (4 * -6 + x * -6) + -9 = 9(x + 3) 3x + -6 + 9x + (-24 + -6x) + -9 = 9(x + 3) Reorder the terms: -6 + -24 + -9 + 3x + 9x + -6x = 9(x + 3) Combine like terms: -6 + -24 = -30 -30 + -9 + 3x + 9x + -6x = 9(x + 3) Combine like terms: -30 + -9 = -39 -39 + 3x + 9x + -6x = 9(x + 3) Combine like terms: 3x + 9x = 12x -39 + 12x + -6x = 9(x + 3) Combine like terms: 12x + -6x = 6x -39 + 6x = 9(x + 3) Reorder the terms: -39 + 6x = 9(3 + x) -39 + 6x = (3 * 9 + x * 9) -39 + 6x = (27 + 9x) Solving -39 + 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. -39 + 6x + -9x = 27 + 9x + -9x Combine like terms: 6x + -9x = -3x -39 + -3x = 27 + 9x + -9x Combine like terms: 9x + -9x = 0 -39 + -3x = 27 + 0 -39 + -3x = 27 Add '39' to each side of the equation. -39 + 39 + -3x = 27 + 39 Combine like terms: -39 + 39 = 0 0 + -3x = 27 + 39 -3x = 27 + 39 Combine like terms: 27 + 39 = 66 -3x = 66 Divide each side by '-3'. x = -22 Simplifying x = -22
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