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Simplifying 5x + 37 + -6 = 1 + -9x + 4 Reorder the terms: 37 + -6 + 5x = 1 + -9x + 4 Combine like terms: 37 + -6 = 31 31 + 5x = 1 + -9x + 4 Reorder the terms: 31 + 5x = 1 + 4 + -9x Combine like terms: 1 + 4 = 5 31 + 5x = 5 + -9x Solving 31 + 5x = 5 + -9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9x' to each side of the equation. 31 + 5x + 9x = 5 + -9x + 9x Combine like terms: 5x + 9x = 14x 31 + 14x = 5 + -9x + 9x Combine like terms: -9x + 9x = 0 31 + 14x = 5 + 0 31 + 14x = 5 Add '-31' to each side of the equation. 31 + -31 + 14x = 5 + -31 Combine like terms: 31 + -31 = 0 0 + 14x = 5 + -31 14x = 5 + -31 Combine like terms: 5 + -31 = -26 14x = -26 Divide each side by '14'. x = -1.857142857 Simplifying x = -1.857142857
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