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Simplifying -4x + -12 = 5x + 24 Reorder the terms: -12 + -4x = 5x + 24 Reorder the terms: -12 + -4x = 24 + 5x Solving -12 + -4x = 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. -12 + -4x + -5x = 24 + 5x + -5x Combine like terms: -4x + -5x = -9x -12 + -9x = 24 + 5x + -5x Combine like terms: 5x + -5x = 0 -12 + -9x = 24 + 0 -12 + -9x = 24 Add '12' to each side of the equation. -12 + 12 + -9x = 24 + 12 Combine like terms: -12 + 12 = 0 0 + -9x = 24 + 12 -9x = 24 + 12 Combine like terms: 24 + 12 = 36 -9x = 36 Divide each side by '-9'. x = -4 Simplifying x = -4
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