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Simplifying 2x + -4 + 5x = -6x + 6 + 12x + -4 Reorder the terms: -4 + 2x + 5x = -6x + 6 + 12x + -4 Combine like terms: 2x + 5x = 7x -4 + 7x = -6x + 6 + 12x + -4 Reorder the terms: -4 + 7x = 6 + -4 + -6x + 12x Combine like terms: 6 + -4 = 2 -4 + 7x = 2 + -6x + 12x Combine like terms: -6x + 12x = 6x -4 + 7x = 2 + 6x Solving -4 + 7x = 2 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -4 + 7x + -6x = 2 + 6x + -6x Combine like terms: 7x + -6x = 1x -4 + 1x = 2 + 6x + -6x Combine like terms: 6x + -6x = 0 -4 + 1x = 2 + 0 -4 + 1x = 2 Add '4' to each side of the equation. -4 + 4 + 1x = 2 + 4 Combine like terms: -4 + 4 = 0 0 + 1x = 2 + 4 1x = 2 + 4 Combine like terms: 2 + 4 = 6 1x = 6 Divide each side by '1'. x = 6 Simplifying x = 6
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