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Simplifying -6(6 + -4x) + 3x = 9(x + -8) (6 * -6 + -4x * -6) + 3x = 9(x + -8) (-36 + 24x) + 3x = 9(x + -8) Combine like terms: 24x + 3x = 27x -36 + 27x = 9(x + -8) Reorder the terms: -36 + 27x = 9(-8 + x) -36 + 27x = (-8 * 9 + x * 9) -36 + 27x = (-72 + 9x) Solving -36 + 27x = -72 + 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. -36 + 27x + -9x = -72 + 9x + -9x Combine like terms: 27x + -9x = 18x -36 + 18x = -72 + 9x + -9x Combine like terms: 9x + -9x = 0 -36 + 18x = -72 + 0 -36 + 18x = -72 Add '36' to each side of the equation. -36 + 36 + 18x = -72 + 36 Combine like terms: -36 + 36 = 0 0 + 18x = -72 + 36 18x = -72 + 36 Combine like terms: -72 + 36 = -36 18x = -36 Divide each side by '18'. x = -2 Simplifying x = -2
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