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Simplifying 12 + 6x + -1 + 1 = 1 + -5x Reorder the terms: 12 + -1 + 1 + 6x = 1 + -5x Combine like terms: 12 + -1 = 11 11 + 1 + 6x = 1 + -5x Combine like terms: 11 + 1 = 12 12 + 6x = 1 + -5x Solving 12 + 6x = 1 + -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. 12 + 6x + 5x = 1 + -5x + 5x Combine like terms: 6x + 5x = 11x 12 + 11x = 1 + -5x + 5x Combine like terms: -5x + 5x = 0 12 + 11x = 1 + 0 12 + 11x = 1 Add '-12' to each side of the equation. 12 + -12 + 11x = 1 + -12 Combine like terms: 12 + -12 = 0 0 + 11x = 1 + -12 11x = 1 + -12 Combine like terms: 1 + -12 = -11 11x = -11 Divide each side by '11'. x = -1 Simplifying x = -1
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