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Simplifying -7 + 13x = 12x + 2 Reorder the terms: -7 + 13x = 2 + 12x Solving -7 + 13x = 2 + 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. -7 + 13x + -12x = 2 + 12x + -12x Combine like terms: 13x + -12x = 1x -7 + 1x = 2 + 12x + -12x Combine like terms: 12x + -12x = 0 -7 + 1x = 2 + 0 -7 + 1x = 2 Add '7' to each side of the equation. -7 + 7 + 1x = 2 + 7 Combine like terms: -7 + 7 = 0 0 + 1x = 2 + 7 1x = 2 + 7 Combine like terms: 2 + 7 = 9 1x = 9 Divide each side by '1'. x = 9 Simplifying x = 9
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