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Simplifying 12x + 40 + -9x = -24 + -5x Reorder the terms: 40 + 12x + -9x = -24 + -5x Combine like terms: 12x + -9x = 3x 40 + 3x = -24 + -5x Solving 40 + 3x = -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. 40 + 3x + 5x = -24 + -5x + 5x Combine like terms: 3x + 5x = 8x 40 + 8x = -24 + -5x + 5x Combine like terms: -5x + 5x = 0 40 + 8x = -24 + 0 40 + 8x = -24 Add '-40' to each side of the equation. 40 + -40 + 8x = -24 + -40 Combine like terms: 40 + -40 = 0 0 + 8x = -24 + -40 8x = -24 + -40 Combine like terms: -24 + -40 = -64 8x = -64 Divide each side by '8'. x = -8 Simplifying x = -8
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