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Simplifying 13x + 7 = 6x + 14 Reorder the terms: 7 + 13x = 6x + 14 Reorder the terms: 7 + 13x = 14 + 6x Solving 7 + 13x = 14 + 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. 7 + 13x + -6x = 14 + 6x + -6x Combine like terms: 13x + -6x = 7x 7 + 7x = 14 + 6x + -6x Combine like terms: 6x + -6x = 0 7 + 7x = 14 + 0 7 + 7x = 14 Add '-7' to each side of the equation. 7 + -7 + 7x = 14 + -7 Combine like terms: 7 + -7 = 0 0 + 7x = 14 + -7 7x = 14 + -7 Combine like terms: 14 + -7 = 7 7x = 7 Divide each side by '7'. x = 1 Simplifying x = 1
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