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Simplifying 6x + 12 = 7x + -2x Reorder the terms: 12 + 6x = 7x + -2x Combine like terms: 7x + -2x = 5x 12 + 6x = 5x Solving 12 + 6x = 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 12 + 6x + -5x = 5x + -5x Combine like terms: 6x + -5x = 1x 12 + 1x = 5x + -5x Combine like terms: 5x + -5x = 0 12 + 1x = 0 Add '-12' to each side of the equation. 12 + -12 + 1x = 0 + -12 Combine like terms: 12 + -12 = 0 0 + 1x = 0 + -12 1x = 0 + -12 Combine like terms: 0 + -12 = -12 1x = -12 Divide each side by '1'. x = -12 Simplifying x = -12
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