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Simplifying 2x + -3x + -7 + 4 = 6x + x + -12x + -7 Reorder the terms: -7 + 4 + 2x + -3x = 6x + x + -12x + -7 Combine like terms: -7 + 4 = -3 -3 + 2x + -3x = 6x + x + -12x + -7 Combine like terms: 2x + -3x = -1x -3 + -1x = 6x + x + -12x + -7 Reorder the terms: -3 + -1x = -7 + 6x + x + -12x Combine like terms: 6x + x = 7x -3 + -1x = -7 + 7x + -12x Combine like terms: 7x + -12x = -5x -3 + -1x = -7 + -5x Solving -3 + -1x = -7 + -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. -3 + -1x + 5x = -7 + -5x + 5x Combine like terms: -1x + 5x = 4x -3 + 4x = -7 + -5x + 5x Combine like terms: -5x + 5x = 0 -3 + 4x = -7 + 0 -3 + 4x = -7 Add '3' to each side of the equation. -3 + 3 + 4x = -7 + 3 Combine like terms: -3 + 3 = 0 0 + 4x = -7 + 3 4x = -7 + 3 Combine like terms: -7 + 3 = -4 4x = -4 Divide each side by '4'. x = -1 Simplifying x = -1
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