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Simplifying -9x + 4(-3x + -2) = -24 + -5x Reorder the terms: -9x + 4(-2 + -3x) = -24 + -5x -9x + (-2 * 4 + -3x * 4) = -24 + -5x -9x + (-8 + -12x) = -24 + -5x Reorder the terms: -8 + -9x + -12x = -24 + -5x Combine like terms: -9x + -12x = -21x -8 + -21x = -24 + -5x Solving -8 + -21x = -24 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. -8 + -21x + 5x = -24 + -5x + 5x Combine like terms: -21x + 5x = -16x -8 + -16x = -24 + -5x + 5x Combine like terms: -5x + 5x = 0 -8 + -16x = -24 + 0 -8 + -16x = -24 Add '8' to each side of the equation. -8 + 8 + -16x = -24 + 8 Combine like terms: -8 + 8 = 0 0 + -16x = -24 + 8 -16x = -24 + 8 Combine like terms: -24 + 8 = -16 -16x = -16 Divide each side by '-16'. x = 1 Simplifying x = 1
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