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Simplifying 12x + -8 = 4x + 6 + 7x + -6 Reorder the terms: -8 + 12x = 4x + 6 + 7x + -6 Reorder the terms: -8 + 12x = 6 + -6 + 4x + 7x Combine like terms: 6 + -6 = 0 -8 + 12x = 0 + 4x + 7x -8 + 12x = 4x + 7x Combine like terms: 4x + 7x = 11x -8 + 12x = 11x Solving -8 + 12x = 11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11x' to each side of the equation. -8 + 12x + -11x = 11x + -11x Combine like terms: 12x + -11x = 1x -8 + 1x = 11x + -11x Combine like terms: 11x + -11x = 0 -8 + 1x = 0 Add '8' to each side of the equation. -8 + 8 + 1x = 0 + 8 Combine like terms: -8 + 8 = 0 0 + 1x = 0 + 8 1x = 0 + 8 Combine like terms: 0 + 8 = 8 1x = 8 Divide each side by '1'. x = 8 Simplifying x = 8
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