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Simplifying 13x + 4x + 3 + 6 = 10 + 27 + 3x Reorder the terms: 3 + 6 + 13x + 4x = 10 + 27 + 3x Combine like terms: 3 + 6 = 9 9 + 13x + 4x = 10 + 27 + 3x Combine like terms: 13x + 4x = 17x 9 + 17x = 10 + 27 + 3x Combine like terms: 10 + 27 = 37 9 + 17x = 37 + 3x Solving 9 + 17x = 37 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 9 + 17x + -3x = 37 + 3x + -3x Combine like terms: 17x + -3x = 14x 9 + 14x = 37 + 3x + -3x Combine like terms: 3x + -3x = 0 9 + 14x = 37 + 0 9 + 14x = 37 Add '-9' to each side of the equation. 9 + -9 + 14x = 37 + -9 Combine like terms: 9 + -9 = 0 0 + 14x = 37 + -9 14x = 37 + -9 Combine like terms: 37 + -9 = 28 14x = 28 Divide each side by '14'. x = 2 Simplifying x = 2
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