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