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Simplifying 13x + -10 = 6x + 67 Reorder the terms: -10 + 13x = 6x + 67 Reorder the terms: -10 + 13x = 67 + 6x Solving -10 + 13x = 67 + 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. -10 + 13x + -6x = 67 + 6x + -6x Combine like terms: 13x + -6x = 7x -10 + 7x = 67 + 6x + -6x Combine like terms: 6x + -6x = 0 -10 + 7x = 67 + 0 -10 + 7x = 67 Add '10' to each side of the equation. -10 + 10 + 7x = 67 + 10 Combine like terms: -10 + 10 = 0 0 + 7x = 67 + 10 7x = 67 + 10 Combine like terms: 67 + 10 = 77 7x = 77 Divide each side by '7'. x = 11 Simplifying x = 11
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