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Simplifying 13x + 9 = 7x + 27 Reorder the terms: 9 + 13x = 7x + 27 Reorder the terms: 9 + 13x = 27 + 7x Solving 9 + 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. 9 + 13x + -7x = 27 + 7x + -7x Combine like terms: 13x + -7x = 6x 9 + 6x = 27 + 7x + -7x Combine like terms: 7x + -7x = 0 9 + 6x = 27 + 0 9 + 6x = 27 Add '-9' to each side of the equation. 9 + -9 + 6x = 27 + -9 Combine like terms: 9 + -9 = 0 0 + 6x = 27 + -9 6x = 27 + -9 Combine like terms: 27 + -9 = 18 6x = 18 Divide each side by '6'. x = 3 Simplifying x = 3
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