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Simplifying 6x + 12 = 2 + 4x + -6 Reorder the terms: 12 + 6x = 2 + 4x + -6 Reorder the terms: 12 + 6x = 2 + -6 + 4x Combine like terms: 2 + -6 = -4 12 + 6x = -4 + 4x Solving 12 + 6x = -4 + 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 + 6x + -4x = -4 + 4x + -4x Combine like terms: 6x + -4x = 2x 12 + 2x = -4 + 4x + -4x Combine like terms: 4x + -4x = 0 12 + 2x = -4 + 0 12 + 2x = -4 Add '-12' to each side of the equation. 12 + -12 + 2x = -4 + -12 Combine like terms: 12 + -12 = 0 0 + 2x = -4 + -12 2x = -4 + -12 Combine like terms: -4 + -12 = -16 2x = -16 Divide each side by '2'. x = -8 Simplifying x = -8
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