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Simplifying 27x + 9 = 13x + 51 Reorder the terms: 9 + 27x = 13x + 51 Reorder the terms: 9 + 27x = 51 + 13x Solving 9 + 27x = 51 + 13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13x' to each side of the equation. 9 + 27x + -13x = 51 + 13x + -13x Combine like terms: 27x + -13x = 14x 9 + 14x = 51 + 13x + -13x Combine like terms: 13x + -13x = 0 9 + 14x = 51 + 0 9 + 14x = 51 Add '-9' to each side of the equation. 9 + -9 + 14x = 51 + -9 Combine like terms: 9 + -9 = 0 0 + 14x = 51 + -9 14x = 51 + -9 Combine like terms: 51 + -9 = 42 14x = 42 Divide each side by '14'. x = 3 Simplifying x = 3
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