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Simplifying 13x + 15 = 7x + 27 Reorder the terms: 15 + 13x = 7x + 27 Reorder the terms: 15 + 13x = 27 + 7x Solving 15 + 13x = 27 + 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. 15 + 13x + -7x = 27 + 7x + -7x Combine like terms: 13x + -7x = 6x 15 + 6x = 27 + 7x + -7x Combine like terms: 7x + -7x = 0 15 + 6x = 27 + 0 15 + 6x = 27 Add '-15' to each side of the equation. 15 + -15 + 6x = 27 + -15 Combine like terms: 15 + -15 = 0 0 + 6x = 27 + -15 6x = 27 + -15 Combine like terms: 27 + -15 = 12 6x = 12 Divide each side by '6'. x = 2 Simplifying x = 2
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