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Simplifying 9x + -6 = -3(x + 2) + -24 Reorder the terms: -6 + 9x = -3(x + 2) + -24 Reorder the terms: -6 + 9x = -3(2 + x) + -24 -6 + 9x = (2 * -3 + x * -3) + -24 -6 + 9x = (-6 + -3x) + -24 Reorder the terms: -6 + 9x = -6 + -24 + -3x Combine like terms: -6 + -24 = -30 -6 + 9x = -30 + -3x Solving -6 + 9x = -30 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -6 + 9x + 3x = -30 + -3x + 3x Combine like terms: 9x + 3x = 12x -6 + 12x = -30 + -3x + 3x Combine like terms: -3x + 3x = 0 -6 + 12x = -30 + 0 -6 + 12x = -30 Add '6' to each side of the equation. -6 + 6 + 12x = -30 + 6 Combine like terms: -6 + 6 = 0 0 + 12x = -30 + 6 12x = -30 + 6 Combine like terms: -30 + 6 = -24 12x = -24 Divide each side by '12'. x = -2 Simplifying x = -2
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