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Simplifying 12x + -4x + -12 = 6 + 7x Reorder the terms: -12 + 12x + -4x = 6 + 7x Combine like terms: 12x + -4x = 8x -12 + 8x = 6 + 7x Solving -12 + 8x = 6 + 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. -12 + 8x + -7x = 6 + 7x + -7x Combine like terms: 8x + -7x = 1x -12 + 1x = 6 + 7x + -7x Combine like terms: 7x + -7x = 0 -12 + 1x = 6 + 0 -12 + 1x = 6 Add '12' to each side of the equation. -12 + 12 + 1x = 6 + 12 Combine like terms: -12 + 12 = 0 0 + 1x = 6 + 12 1x = 6 + 12 Combine like terms: 6 + 12 = 18 1x = 18 Divide each side by '1'. x = 18 Simplifying x = 18
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