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Simplifying 13x + -12 = 6x + 65 Reorder the terms: -12 + 13x = 6x + 65 Reorder the terms: -12 + 13x = 65 + 6x Solving -12 + 13x = 65 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -12 + 13x + -6x = 65 + 6x + -6x Combine like terms: 13x + -6x = 7x -12 + 7x = 65 + 6x + -6x Combine like terms: 6x + -6x = 0 -12 + 7x = 65 + 0 -12 + 7x = 65 Add '12' to each side of the equation. -12 + 12 + 7x = 65 + 12 Combine like terms: -12 + 12 = 0 0 + 7x = 65 + 12 7x = 65 + 12 Combine like terms: 65 + 12 = 77 7x = 77 Divide each side by '7'. x = 11 Simplifying x = 11
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