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Simplifying -2x + -12 = 4x + 24 Reorder the terms: -12 + -2x = 4x + 24 Reorder the terms: -12 + -2x = 24 + 4x Solving -12 + -2x = 24 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -12 + -2x + -4x = 24 + 4x + -4x Combine like terms: -2x + -4x = -6x -12 + -6x = 24 + 4x + -4x Combine like terms: 4x + -4x = 0 -12 + -6x = 24 + 0 -12 + -6x = 24 Add '12' to each side of the equation. -12 + 12 + -6x = 24 + 12 Combine like terms: -12 + 12 = 0 0 + -6x = 24 + 12 -6x = 24 + 12 Combine like terms: 24 + 12 = 36 -6x = 36 Divide each side by '-6'. x = -6 Simplifying x = -6
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