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Simplifying 6x + 2 = -7x + 67 Reorder the terms: 2 + 6x = -7x + 67 Reorder the terms: 2 + 6x = 67 + -7x Solving 2 + 6x = 67 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. 2 + 6x + 7x = 67 + -7x + 7x Combine like terms: 6x + 7x = 13x 2 + 13x = 67 + -7x + 7x Combine like terms: -7x + 7x = 0 2 + 13x = 67 + 0 2 + 13x = 67 Add '-2' to each side of the equation. 2 + -2 + 13x = 67 + -2 Combine like terms: 2 + -2 = 0 0 + 13x = 67 + -2 13x = 67 + -2 Combine like terms: 67 + -2 = 65 13x = 65 Divide each side by '13'. x = 5 Simplifying x = 5
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