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