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Simplifying 4x + 12 = 2x + -6 Reorder the terms: 12 + 4x = 2x + -6 Reorder the terms: 12 + 4x = -6 + 2x Solving 12 + 4x = -6 + 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 = -6 + 2x + -2x Combine like terms: 4x + -2x = 2x 12 + 2x = -6 + 2x + -2x Combine like terms: 2x + -2x = 0 12 + 2x = -6 + 0 12 + 2x = -6 Add '-12' to each side of the equation. 12 + -12 + 2x = -6 + -12 Combine like terms: 12 + -12 = 0 0 + 2x = -6 + -12 2x = -6 + -12 Combine like terms: -6 + -12 = -18 2x = -18 Divide each side by '2'. x = -9 Simplifying x = -9

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