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Simplifying 13x + 8 = 7x + 14 Reorder the terms: 8 + 13x = 7x + 14 Reorder the terms: 8 + 13x = 14 + 7x Solving 8 + 13x = 14 + 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. 8 + 13x + -7x = 14 + 7x + -7x Combine like terms: 13x + -7x = 6x 8 + 6x = 14 + 7x + -7x Combine like terms: 7x + -7x = 0 8 + 6x = 14 + 0 8 + 6x = 14 Add '-8' to each side of the equation. 8 + -8 + 6x = 14 + -8 Combine like terms: 8 + -8 = 0 0 + 6x = 14 + -8 6x = 14 + -8 Combine like terms: 14 + -8 = 6 6x = 6 Divide each side by '6'. x = 1 Simplifying x = 1
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