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