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Simplifying 2x + 4x + -4 + 3 = 12x + 2 + -5x + -1 Reorder the terms: -4 + 3 + 2x + 4x = 12x + 2 + -5x + -1 Combine like terms: -4 + 3 = -1 -1 + 2x + 4x = 12x + 2 + -5x + -1 Combine like terms: 2x + 4x = 6x -1 + 6x = 12x + 2 + -5x + -1 Reorder the terms: -1 + 6x = 2 + -1 + 12x + -5x Combine like terms: 2 + -1 = 1 -1 + 6x = 1 + 12x + -5x Combine like terms: 12x + -5x = 7x -1 + 6x = 1 + 7x Solving -1 + 6x = 1 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -1 + 6x + -7x = 1 + 7x + -7x Combine like terms: 6x + -7x = -1x -1 + -1x = 1 + 7x + -7x Combine like terms: 7x + -7x = 0 -1 + -1x = 1 + 0 -1 + -1x = 1 Add '1' to each side of the equation. -1 + 1 + -1x = 1 + 1 Combine like terms: -1 + 1 = 0 0 + -1x = 1 + 1 -1x = 1 + 1 Combine like terms: 1 + 1 = 2 -1x = 2 Divide each side by '-1'. x = -2 Simplifying x = -2
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