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Simplifying 13x + -6 = 12x + 1 Reorder the terms: -6 + 13x = 12x + 1 Reorder the terms: -6 + 13x = 1 + 12x Solving -6 + 13x = 1 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -6 + 13x + -12x = 1 + 12x + -12x Combine like terms: 13x + -12x = 1x -6 + 1x = 1 + 12x + -12x Combine like terms: 12x + -12x = 0 -6 + 1x = 1 + 0 -6 + 1x = 1 Add '6' to each side of the equation. -6 + 6 + 1x = 1 + 6 Combine like terms: -6 + 6 = 0 0 + 1x = 1 + 6 1x = 1 + 6 Combine like terms: 1 + 6 = 7 1x = 7 Divide each side by '1'. x = 7 Simplifying x = 7
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