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Simplifying 6x + 12 = 2x + -6 Reorder the terms: 12 + 6x = 2x + -6 Reorder the terms: 12 + 6x = -6 + 2x Solving 12 + 6x = -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 + 6x + -2x = -6 + 2x + -2x Combine like terms: 6x + -2x = 4x 12 + 4x = -6 + 2x + -2x Combine like terms: 2x + -2x = 0 12 + 4x = -6 + 0 12 + 4x = -6 Add '-12' to each side of the equation. 12 + -12 + 4x = -6 + -12 Combine like terms: 12 + -12 = 0 0 + 4x = -6 + -12 4x = -6 + -12 Combine like terms: -6 + -12 = -18 4x = -18 Divide each side by '4'. x = -4.5 Simplifying x = -4.5

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